word problems fraction worksheets for grade 6

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Fraction Word Problem Worksheets

Featured here is a vast collection of fraction word problems, which require learners to simplify fractions, add like and unlike fractions; subtract like and unlike fractions; multiply and divide fractions. The fraction word problems include proper fraction, improper fraction, and mixed numbers. Solve each word problem and scroll down each printable worksheet to verify your solutions using the answer key provided. Thumb through some of these word problem worksheets for free!

Represent and Simplify the Fractions: Type 1

Presented here are the fraction pdf worksheets based on real-life scenarios. Read the basic fraction word problems, write the correct fraction and reduce your answer to the simplest form.

• Download the set

Represent and Simplify the Fractions: Type 2

Before representing in fraction, children should perform addition or subtraction to solve these fraction word problems. Write your answer in the simplest form.

Adding Fractions Word Problems Worksheets

Conjure up a picture of how adding fractions plays a significant role in our day-to-day lives with the help of the real-life scenarios and circumstances presented as word problems here.

(15 Worksheets)

Subtracting Fractions Word Problems Worksheets

Crank up your skills with this set of printable worksheets on subtracting fractions word problems presenting real-world situations that involve fraction subtraction!

Multiplying Fractions Word Problems Worksheets

This set of printables is for the ardently active children! Explore the application of fraction multiplication and mixed-number multiplication in the real world with this exhilarating practice set.

Fraction Division Word Problems Worksheets

Gift children a broad view of the real-life application of dividing fractions! Let them divide fractions by whole numbers, divide 2 fractions, divide mixed numbers, and solve the word problems here.

Related Worksheets

» Decimal Word Problems

» Ratio Word Problems

» Division Word Problems

» Math Word Problems

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Fraction Word Problems Worksheets

The fraction word problems worksheet helps the students uncover fraction concepts and their usage in real-life situations. Fractions mean a part of the whole and they find their place everywhere making it an important topic to learn.

Benefits of Fraction Word Problems Worksheets

These worksheets are thoughtfully curated for the students to put their knowledge of fractions into use. The benefit of fraction word problem worksheets is that the young minds get to explore the vastness of usage of fractions in mathematics and real life.

The students will learn a lot using their basic knowledge of addition subtraction multiplication and division in dealing with word problems including fractions, mixed fractions, and ratios.

Download Fraction Word Problems Worksheet PDFs

These math worksheets are free to download and easy to proceed with, as the questions are arranged in increasing order of difficulty. The interactive and engaging question problems help the students explore a wide range of fraction usage and their applicability in real life scenarios.

☛ Check Grade wise Fraction Word Problems Worksheets

• 1st Grade Fraction Worksheets
• Fraction Worksheets for Grade 2
• 3rd Grade Fraction Worksheets
• Fraction Worksheets for Grade 4
• 5th Grade Fraction Worksheets
• Fraction Worksheets for Grade 6
• 7th Grade Fraction Worksheets
• Fraction Worksheets for Grade 8

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Fraction Word Problems Worksheets

• Pre-Algebra >
• Fractions >

Traverse through our printable fraction word problems worksheets for a wide range of real-world scenarios that involve identifying fractions and equivalent fractions and performing four operations with proper fractions, improper fractions, and mixed numbers. With exclusive theme-based word problems on adding, subtracting, multiplying, and dividing fractions, our free worksheets will see the young beginners and skilled learners practice with relish!

These pdf worksheets are most recommended for students in grade 3 through grade 7.

Identifying Fractions | Worksheet #1

Savor a potpourri of everyday circumstances that have fractions in place. Read the scenarios carefully and pinpoint the fractions that take part in them to solve this free identifying fractions worksheet.

Identifying Fractions | Worksheet #2

Children in 3rd grade and 4th grade need to pore over the fraction word problems, identify the numerators as parts and denominators as whole, and solve them.

Equivalent Fractions Word Problems

Here's an exclusive set that hands out well-researched word problems on equivalent fractions, so compelling that you would instantly want to add it to your repertoire! Grab these printable practice worksheets now!

Adding Fractions Word Problems

Casting around for story problems on fraction addition? Watch kitchen ingredients, handicrafts, and many other familiar objects contribute their bits toward the cause of fractions for addition.

Subtracting Fractions Word Problems

Plug into this bunch of pdf worksheets with interesting word problems on fraction subtraction for grade 3, grade 4, grade 5, and grade 6, and steal the limelight!

Multiplying Fractions Word Problems

Unleash your hidden skills at fraction multiplication through our fraction word problems worksheets, where it's raining relatable situations. Children will discover a whole new way of embracing fractions in their daily lives.

Dividing Fractions Word Problems

A free, must-have resource for 5th grade, 6th grade, and 7th grade students. Tap into the student’s inner genius and watch them perform fraction division with renewed passion!

Related Printable Worksheets

▶ Adding Fractions

▶ Subtracting Fractions

▶ Multiplying Fractions

▶ Dividing Fractions

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• Sixth Grade

Fractions Word Problems

Sixth grade fractions word problems worksheets.

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Comparing Fractions

Simplifying Fractions

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Fraction Word Problems Worksheets

Related Pages Math Worksheets Lessons for Fifth Grade Free Printable Worksheets

Printable “Fraction Word Problems” Worksheets: Fraction Word Problems (Add, Subtract) 2-Step Fraction Word Problems (Add, Subtract) 2-Step Mixed Number Word Problems (Add, Subtract) Fraction Word Problems (Add, Subtract, Multiply)

Free printable and online math worksheets to help you learn how to interpret fraction as division. You can either print the worksheets (pdf) or practice online.

How to solve fraction word problems involving addition, subtraction, and multiplication? To solve fraction word problems involving addition, subtraction, and multiplication, you’ll need to follow a systematic approach and apply the appropriate operations to the given fractions. Here’s a step-by-step guide:

Steps to Solve Fraction Word Problems with Addition, Subtraction, and Multiplication:

• Carefully read the word problem to understand the context and what it’s asking you to find. Identify the given information, the operations required (addition, subtraction, multiplication), and the unknowns.
• If the problem involves mixed numbers, convert them to improper fractions for easier calculation. Multiply the whole number by the denominator and add the numerator to get the new numerator. Keep the same denominator.
• Based on the problem statement, perform addition, subtraction, or multiplication of the fractions. Use common denominators when adding or subtracting fractions.
• Simplify the Result (If Needed): If the result is an improper fraction, consider simplifying it to a mixed number if necessary.
• After performing the calculations, double-check your answer to ensure it makes sense in the context of the problem. Verify that your answer matches the requirements of the problem.

Then, practice the following worksheets.

Click on the following worksheet to get a printable pdf document. Scroll down the page for more Fraction Word Problems Worksheets .

More Fraction Word Problems Worksheets

Printable (Answers on the second page) Fraction Word Problems Worksheet #1 Fraction Word Problems Worksheet #2 Fraction Word Problems Worksheet #3 Fraction Word Problems Worksheet #4

Related Worksheets

Fraction Word Problems (addition, subtraction, multiplication)

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Fraction Word Problems (w/Mixed Operations) Worksheets

Students always feel a little out of their element when they are working on scenario-based problems. As they become much better at them, they begin to see the real value that math has and the power that it can wield in the real world. In this setting we have created a series of problems over the course of the lessons and worksheets that will help your students feel comfortable with fractions in word problems from all types of different angles.

Aligned Standard: 5.NF.A.2 and 6.NS.A.1

• Mixed Operation Fraction Word Problems Lesson - Thomas, the pizza chef, wants to know how many slices of pizza he is making for his next order.
• Guided Lesson - Two young women are working hard in this word problem set. Julia at the deli and Marie is preparing for a track event.
• Guided Lesson Explanation - The hardest thing with these types of problems is understanding what is being asked and charting it out.
• Practice Worksheet 1 - The denominators of all of these problems are small to allow kids to have success with the concepts.
• Practice Worksheet 2 - You will need to read these in depth. Again, baby steps here. The more challenging work is found below.
• Answer Keys - These are for all the unlocked materials above.

Homework Sheets

The problems on these sheets use a specific operation so that you can pinpoint any weaknesses that exist.

• Homework 1 - Add - Jean makes a special snack for Sandra. It contains 1/4 cup flax seed, 3/8 cup Olive oil and 1/2 cup of oats. How many cups is Sandra's special snack?
• Homework 2 - Subtract - Jeff walked 2/3 of a 1 mile hike. How much farther does Jeff have to go to complete the hike?
• Homework 3 - Multiply - Gretchen collects teddy bears. 1/1 of the collection of teddy bears she received for her birthday. 1/2 of her birthday collection are large teddy bears. How much of her overall teddy bear collection are large teddy bears?
• Homework 4 - Divide - A lemonade pitcher has 12 cups of lemonade. If you pour a 1/2 cup as a serving how many servings are in the pitcher?

Practice Worksheets

We followed the same sequence here with the use of math operations.

• Practice 1 - Add - Tina loves to read. On Monday she read 6/3 pages, on Tuesday she read 12/6 pages and on Friday she read 24/6 pages. How many pages did she read?
• Practice 2 - Subtract - Josh marches 2/4 mile on Monday. How far does he need to march on Friday to make it 1 mile?
• Practice 3 - Multiply - Cliff collects antique farm equipment. 5/8 of his collection are tractors. Of these tractors 1/5 of them are in working order. How much of his whole collection are working tractors?
• Practice 4 - Divide - A bag of grain has 12 coffee cups of grain. If you pour a 1/3 of a coffee can as a serving how many servings are in the bag?

Tips for Fraction Word Problems

Word problems that involve fractions are often considered difficult for students resulting in reluctance in attempting the questions. Yes, they are a bit more complex than the normal word problems. However, using the right tips and rules, these questions can be solved by any student. All you need to do is practice. Let's try understanding certain examples.

Multiplying Fraction word problems: While at a bakery, a woman purchased bought half a pound of chocolate fudge cake. She ate that cake at night after dinner around 1/4 of it. How much is left?

Dividing Fraction Word Problem: Jamal's mother made his favorites, peanut butter caramel fudge cake around 1/3 of pound. She divided the fudge into four equal pieces. How much cake will go into each container?

1. You need to read the problem carefully at first. Circle any keywords that may indicate a math operation. For addition, some commonly used terms include: both, in all, increase, and total. Subtraction: difference, fewer, take away, and less. Multiplication: product, times, and lots. Division: each, every, and shared. Give it another read, if you are still not able to understand.

2. Explain the problem in your own words to someone else (a friend or a teacher). It may help to draw a picture.

3. Translate this into an equation or an expression that indicates what we are trying to find. Practice the same problem with different variables and numbers. Students learn how to handle word problems that include and use fractional values.

4. Solve the problem and make sure that you are using the proper units. The value you calculate should answer the question posed by the problem.

Quick Operation Review with Fractions

When you are working with word problems that involve fractions it is good to refer back to the basic foundation of the math that is required. The universal rule when working with these types of problems is to ensure that you are working with fraction values that share a common denominator. The beauty of this is that you do not have to worry about using the least common denominator at first as long as you reduce the final fraction. Find a common denominator between the values that you find easy to work with. When you have both values in that format, addition and subtraction are simple. Just add the numerators for addition and subtract the numerators for subtraction. The denominator will not change. The operation just takes place at the numerator level. When it comes to multiplication, we do not need to worry about finding a common base, just multiply the numerators and denominators of the fractions together. Division is much the same divide the numerators and the denominators. Those are the basic rules you will need to follow when processing these problems. The biggest challenge when working with these types of problems is determining which operation you will need to work with based on the situation. If you look for common keywords, you can quickly establish the type of math that is involved. For addition look for the words: combine(d), increase, join, together, and total. For subtraction look for the words or phrases: decrease, difference, left over, less than, reduce, remove, and take away. For multiplication look for the words or phrases: by, per, product of, and times. For division look for the words: average, equal parts, out of, ratio, shared, and split.

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Fraction word prob.

Fraction word problems

Here you will learn about fraction word problems, including solving math word problems within a real-world context involving adding fractions, subtracting fractions, multiplying fractions, and dividing fractions.

Students will first learn about fraction word problems as part of number and operations—fractions in 4 th grade.

What are fraction word problems?

Fraction word problems are math word problems involving fractions that require students to use problem-solving skills within the context of a real-world situation.

To solve a fraction word problem, you must understand the context of the word problem, what the unknown information is, and what operation is needed to solve it. Fraction word problems may require addition, subtraction, multiplication, or division of fractions.

After determining what operation is needed to solve the problem, you can apply the rules of adding, subtracting, multiplying, or dividing fractions to find the solution.

For example,

Natalie is baking 2 different batches of cookies. One batch needs \cfrac{3}{4} cup of sugar and the other batch needs \cfrac{2}{4} cup of sugar. How much sugar is needed to bake both batches of cookies?

You can follow these steps to solve the problem:

Step-by-step guide: Adding and subtracting fractions

Step-by-step guide: Adding fractions

Step-by-step guide: Subtracting fractions

Step-by-step guide: Multiplying and dividing fractions

Step-by-step guide: Multiplying fractions

Step-by-step guide: Dividing fractions

Common Core State Standards

How does this relate to 4 th grade math to 6 th grade math?

• Grade 4: Number and Operations—Fractions (4.NF.B.3d) Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.
• Grade 4: Number and Operations—Fractions (4.NF.B.4c) Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat \cfrac{3}{8} of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?
• Grade 5: Number and Operations—Fractions (5.NF.A.2) Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result \cfrac{2}{5}+\cfrac{1}{2}=\cfrac{3}{7} by observing that \cfrac{3}{7}<\cfrac{1}{2} .
• Grade 5: Number and Operations—Fractions (5.NF.B.6) Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
• Grade 5: Number and Operations—Fractions (5.NF.B.7c) Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share \cfrac{1}{2} \: lb of chocolate equally? How many \cfrac{1}{3} cup servings are in 2 cups of raisins?
• Grade 6: The Number System (6.NS.A.1) Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for \cfrac{2}{3} \div \cfrac{4}{5} and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that \cfrac{2}{3} \div \cfrac{4}{5}=\cfrac{8}{9} because \cfrac{3}{4} of \cfrac{8}{9} is \cfrac{2}{3}. (In general, \cfrac{a}{b} \div \cfrac{c}{d}=\cfrac{a d}{b c} \, ) How much chocolate will each person get if 3 people share \cfrac{1}{2} \: lb of chocolate equally? How many \cfrac{3}{4} cup servings are in \cfrac{2}{3} of a cup of yogurt? How wide is a rectangular strip of land with length \cfrac{3}{4} \: m and area \cfrac{1}{2} \: m^2?

[FREE] Fraction Operations Worksheet (Grade 4 to 6)

Use this quiz to check your grade 4 to 6 students’ understanding of fraction operations. 10+ questions with answers covering a range of 4th to 6th grade fraction operations topics to identify areas of strength and support!

How to solve fraction word problems

In order to solve fraction word problems:

Determine what operation is needed to solve.

Write an equation.

Solve the equation.

State your answer in a sentence.

Fraction word problem examples

Example 1: adding fractions (like denominators).

Julia ate \cfrac{3}{8} of a pizza and her brother ate \cfrac{2}{8} of the same pizza. How much of the pizza did they eat altogether?

The problem states how much pizza Julia ate and how much her brother ate. You need to find how much pizza Julia and her brother ate altogether , which means you need to add.

2 Write an equation.

3 Solve the equation.

To add fractions with like denominators, add the numerators and keep the denominators the same.

4 State your answer in a sentence.

The last step is to go back to the word problem and write a sentence to clearly say what the solution represents in the context of the problem.

Julia and her brother ate \cfrac{5}{8} of the pizza altogether.

Example 2: adding fractions (unlike denominators)

Tim ran \cfrac{5}{6} of a mile in the morning and \cfrac{1}{3} of a mile in the afternoon. How far did Tim run in total?

The problem states how far Tim ran in the morning and how far he ran in the afternoon. You need to find how far Tim ran in total , which means you need to add.

To add fractions with unlike denominators, first find a common denominator and then change the fractions accordingly before adding.

\cfrac{5}{6}+\cfrac{1}{3}= \, ?

The least common multiple of 6 and 3 is 6, so 6 can be the common denominator.

That means \cfrac{1}{3} will need to be changed so that its denominator is 6. To do this, multiply the numerator and the denominator by 2.

\cfrac{1 \times 2}{3 \times 2}=\cfrac{2}{6}

Now you can add the fractions and simplify the answer.

\cfrac{5}{6}+\cfrac{2}{6}=\cfrac{7}{6}=1 \cfrac{1}{6}

Tim ran a total of 1 \cfrac{1}{6} miles.

Example 3: subtracting fractions (like denominators)

Pia walked \cfrac{4}{7} of a mile to the park and \cfrac{3}{7} of a mile back home. How much farther did she walk to the park than back home?

The problem states how far Pia walked to the park and how far she walked home. Since you need to find the difference ( how much farther ) between the two distances, you need to subtract.

To subtract fractions with like denominators, subtract the numerators and keep the denominators the same.

\cfrac{4}{7}-\cfrac{3}{7}=\cfrac{1}{7}

Pia walked \cfrac{1}{7} of a mile farther to the park than back home.

Example 4: subtracting fractions (unlike denominators)

Henry bought \cfrac{7}{8} pound of beef from the grocery store. He used \cfrac{1}{3} of a pound of beef to make a hamburger. How much of the beef does he have left?

The problem states how much beef Henry started with and how much he used. Since you need to find how much he has left , you need to subtract.

To subtract fractions with unlike denominators, first find a common denominator and then change the fractions accordingly before subtracting.

\cfrac{7}{8}-\cfrac{1}{3}= \, ?

The least common multiple of 8 and 3 is 24, so 24 can be the common denominator.

That means both fractions will need to be changed so that their denominator is 24.

To do this, multiply the numerator and the denominator of each fraction by the same number so that it results in a denominator of 24. This will give you an equivalent fraction for each fraction in the problem.

\begin{aligned}&\cfrac{7 \times 3}{8 \times 3}=\cfrac{21}{24} \\\\ &\cfrac{1 \times 8}{3 \times 8}=\cfrac{8}{24} \end{aligned}

Now you can subtract the fractions.

\cfrac{21}{24}-\cfrac{8}{24}=\cfrac{13}{24}

Henry has \cfrac{13}{24} of a pound of beef left.

Example 5: multiplying fractions

Andre has \cfrac{3}{4} of a candy bar left. He gives \cfrac{1}{2} of the remaining bit of the candy bar to his sister. What fraction of the whole candy bar does Andre have left now?

It could be challenging to determine the operation needed for this problem; many students may automatically assume it is subtraction since you need to find how much of the candy bar is left.

However, since you know Andre started with a fraction of the candy bar and you need to find a fraction OF a fraction, you need to multiply.

The difference here is that Andre did NOT give his sister \cfrac{1}{2} of the candy bar, but he gave her \cfrac{1}{2} of \cfrac{3}{4} of a candy bar.

To solve the word problem, you can ask, “What is \cfrac{1}{2} of \cfrac{3}{4}? ” and set up the equation accordingly. Think of the multiplication sign as meaning “of.”

\cfrac{1}{2} \times \cfrac{3}{4}= \, ?

To multiply fractions, multiply the numerators and multiply the denominators.

\cfrac{1}{2} \times \cfrac{3}{4}=\cfrac{3}{8}

Andre gave \cfrac{1}{2} of \cfrac{3}{4} of a candy bar to his sister, which means he has \cfrac{1}{2} of \cfrac{3}{4} left. Therefore, Andre has \cfrac{3}{8} of the whole candy bar left.

Example 6: dividing fractions

Nia has \cfrac{7}{8} cup of trail mix. How many \cfrac{1}{4} cup servings can she make?

The problem states the total amount of trail mix Nia has and asks how many servings can be made from it.

To solve, you need to divide the total amount of trail mix (which is \cfrac{7}{8} cup) by the amount in each serving ( \cfrac{1}{4} cup) to find out how many servings she can make.

To divide fractions, multiply the dividend by the reciprocal of the divisor.

\begin{aligned}& \cfrac{7}{8} \div \cfrac{1}{4}= \, ? \\\\ & \downarrow \downarrow \downarrow \\\\ &\cfrac{7}{8} \times \cfrac{4}{1}=\cfrac{28}{8} \end{aligned}

You can simplify \cfrac{28}{8} to \cfrac{7}{2} and then 3 \cfrac{1}{2}.

Nia can make 3 \cfrac{1}{2} cup servings.

Teaching tips for fraction word problems

• Encourage students to look for key words to help determine the operation needed to solve the problem. For example, subtracting fractions word problems might ask students to find “how much is left” or “how much more” one fraction is than another.
• Provide students with an answer key to word problem worksheets to allow them to obtain immediate feedback on their solutions. Encourage students to attempt the problems independently first, then check their answers against the key to identify any mistakes and learn from them. This helps reinforce problem-solving skills and confidence.
• Be sure to incorporate real-world situations into your math lessons. Doing so allows students to better understand the relevance of fractions in everyday life.
• As students progress and build a strong foundational understanding of one-step fraction word problems, provide them with multi-step word problems that involve more than one operation to solve.
• Take note that students will not divide a fraction by a fraction as shown above until 6 th grade (middle school), but they will divide a unit fraction by a whole number and a whole number by a fraction in 5 th grade (elementary school), where the same mathematical rules apply to solving.
• There are many alternatives you can use in place of printable math worksheets to make practicing fraction word problems more engaging. Some examples are online math games and digital workbooks.

Easy mistakes to make

• Misinterpreting the problem Misreading or misunderstanding the word problem can lead to solving for the wrong quantity or using the wrong operation.
• Not finding common denominators When adding or subtracting fractions with unlike denominators, students may forget to find a common denominator, leading to an incorrect answer.
• Forgetting to simplify Unless a problem specifically says not to simplify, fractional answers should always be written in simplest form.

Related fractions operations lessons

• Fractions operations
• Multiplicative inverse
• Reciprocal math
• Fractions as divisions

Practice fraction word problem questions

1. Malia spent \cfrac{5}{6} of an hour studying for a math test. Then she spent \cfrac{1}{3} of an hour reading. How much longer did she spend studying for her math test than reading?

Malia spent \cfrac{1}{2} of an hour longer studying for her math test than reading.

Malia spent \cfrac{5}{18} of an hour longer studying for her math test than reading.

Malia spent \cfrac{1}{2} of an hour longer reading than studying for her math test.

Malia spent 1 \cfrac{1}{6} of an hour longer studying for her math test than reading.

To find the difference between the amount of time Malia spent studying for her math test than reading, you need to subtract. Since the fractions have unlike denominators, you need to find a common denominator first.

You can use 6 as the common denominator, so \cfrac{1}{3} becomes \cfrac{3}{6}. Then you can subtract.

\cfrac{3}{6} can then be simplified to \cfrac{1}{2}.

Finally, you need to choose the answer that correctly answers the question within the context of the situation. Therefore, the correct answer is “Malia spent \cfrac{1}{2} of an hour longer studying for her math test than reading.”

2. A square garden is \cfrac{3}{4} of a meter wide and \cfrac{8}{9} of a meter long. What is its area?

The area of the garden is 1\cfrac{23}{36} square meters.

The area of the garden is \cfrac{27}{32} square meters.

The area of the garden is \cfrac{2}{3} square meters.

The perimeter of the garden is \cfrac{2}{3} meters.

To find the area of a square, you multiply the length and width. So to solve, you multiply the fractional lengths by mulitplying the numerators and multiplying the denominators.

\cfrac{24}{36} can be simplified to \cfrac{2}{3}. 

Therefore, the correct answer is “The area of the garden is \cfrac{2}{3} square meters.”

3. Zoe ate \cfrac{3}{8} of a small cake. Liam ate \cfrac{1}{8} of the same cake. How much more of the cake did Zoe eat than Liam?

Zoe ate \cfrac{3}{64} more of the cake than Liam.

Zoe ate \cfrac{1}{4} more of the cake than Liam.

Zoe ate \cfrac{1}{8} more of the cake than Liam.

Liam ate \cfrac{1}{4} more of the cake than Zoe.

To find how much more cake Zoe ate than Liam, you subtract. Since the fractions have the same denominator, you subtract the numerators and keep the denominator the same.

\cfrac{2}{8} can be simplified to \cfrac{1}{4}. 

Therefore, the correct answer is “Zoe ate \cfrac{1}{4} more of the cake than Liam.”

4. Lila poured \cfrac{11}{12} cup of pineapple and \cfrac{2}{3} cup of mango juice in a bottle. How many cups of juice did she pour into the bottle altogether?

Lila poured 1 \cfrac{7}{12} cups of juice in the bottle altogether.

Lila poured \cfrac{1}{4} cups of juice in the bottle altogether.

Lila poured \cfrac{11}{18} cups of juice in the bottle altogether.

Lila poured 1 \cfrac{3}{8} cups of juice in the bottle altogether.

To find the total amount of juice that Lila poured into the bottle, you need to add. Since the fractions have unlike denominators, you need to find a common denominator first.

You can use 12 as the common denominator, so \cfrac{2}{3} becomes \cfrac{8}{12}.  Then you can add.

\cfrac{19}{12} can be simplified to 1 \cfrac{7}{12}. 

Therefore, the correct answer is “Lila poured 1 \cfrac{7}{12} cups of juice in the bottle altogether.”

5. Killian used \cfrac{9}{10} of a gallon of paint to paint his living room and \cfrac{7}{10} of a gallon to paint his bedroom. How much paint did Killian use in all?

Killian used \cfrac{2}{10} gallons of paint in all.

Killian used \cfrac{1}{5} gallons of paint in all.

Killian used \cfrac{63}{100} gallons of paint in all.

Killian used 1 \cfrac{3}{5} gallons of paint in all.

To find the total amount of paint Killian used, you add the amount he used for the living room and the amount he used for the kitchen. Since the fractions have the same denominator, you add the numerators and keep the denominators the same.

\cfrac{16}{10} can be simplified to 1 \cfrac{6}{10} and then further simplified to 1 \cfrac{3}{5}.

Therefore, the correct answer is “Killian used 1 \cfrac{3}{5} gallons of paint in all.”

6. Evan pours \cfrac{4}{5} of a liter of orange juice evenly among some cups.

He put \cfrac{1}{10} of a liter into each cup. How many cups did Evan fill?

Evan filled \cfrac{2}{25} cups.

Evan filled 8 cups.

Evan filled \cfrac{9}{10} cups.

Evan filled 7 cups.

To find the number of cups Evan filled, you need to divide the total amount of orange juice by the amount being poured into each cup. To divide fractions, you mulitply the first fraction (the dividend) by the reciprocal of the second fraction (the divisor).

\cfrac{40}{5} can be simplifed to 8.

Therefore, the correct answer is “Evan filled 8 cups.”

Fraction word problems FAQs

Fraction word problems are math word problems involving fractions that require students to use problem-solving skills within the context of a real-world situation. Fraction word problems may involve addition, subtraction, multiplication, or division of fractions.

To solve fraction word problems, first you need to determine the operation. Then you can write an equation and solve the equation based on the arithmetic rules for that operation.

Fraction word problems and decimal word problems are similar because they both involve solving math problems within real-world contexts. Both types of problems require understanding the problem, determining the operation needed to solve it (addition, subtraction, multiplication, division), and solving it based on the arithmetic rules for that operation.

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Free Printable Math Word Problems Worksheets for 6th Grade

Math Word Problems: Discover a vast collection of free printable worksheets for Grade 6 students, created by educators to enhance their mathematical skills and problem-solving abilities. Dive into the world of numbers with Quizizz!

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Explore printable Math Word Problems worksheets for 6th Grade

Math Word Problems worksheets for Grade 6 are an essential resource for teachers who want to help their students develop strong problem-solving skills and a deep understanding of mathematical concepts. These worksheets provide a variety of engaging and challenging problems that require students to apply their knowledge of math in real-world situations. With a wide range of topics covered, including fractions, decimals, percentages, and geometry, Grade 6 Math Word Problems worksheets are designed to align with the Common Core State Standards and support teachers in their efforts to create a well-rounded math curriculum. By incorporating these worksheets into their lesson plans, teachers can ensure that their students are receiving the practice and reinforcement they need to excel in math.

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6th Grade adding and subtracting fractions: Free printable worksheets

Hello math teachers and parents! Do you have an impression that fractions are complicated to teach? If yes, check out Mathskills4kids’ 6th Grade adding and subtracting fractions free printable worksheets . In addition to Mathskills4kids.com , this article will provide more remarkable websites and resources that you can use to improve addition and subtraction of fractions skills in grade 6

Generally, our aim in this article is to provide fun and effective methods to help you teach fractions addition, and subtraction easier to your kids.

Nevertheless, we’ll briefly introduce why fraction math skills are important for 6th-Grade students. Then we’ll review some basic fractions concepts like fractions and how to compare, simplify and equivalent them.

In addition, we’ll provide step-by-step examples and practice problems for adding and subtracting fractions with like and unlike denominators. Also, we’ll illustrate some common Mistakes we make when adding and subtracting fractions and how to avoid them.

Fraction math skills for 6th Grade: Worksheets, Tips, and Tricks for Adding and Subtracting Fractions

Welcome to the world of fraction math skills for 6th grade ! As students progress in their mathematical journey, fractions become essential to learning.

However, understanding and mastering this vital math concept can sometimes be challenging. That's where we come in! This article will provide you with various worksheets, tips, and tricks to help 6th graders excel in adding and subtracting fractions .

Whether you're a student looking for extra practice or a parent searching for resources to support your child's learning, this guide has got you covered. From step-by-step explanations to interactive exercises, we will break down the complexities of fractions into manageable pieces, making math fun and accessible.

So let's dive in and discover the secrets to mastering fraction math skills in 6th grade!

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Start practice on Sixth Grade here

Why fraction math skills are important for 6th-grade students.

Fractions are everywhere in math and life. We use them to measure, compare, divide, and more. They are essential for understanding ratios, proportions, decimals, percentages, and algebra. That's why fraction math skills are important for 6th-grade students preparing for more advanced math topics in middle school and beyond.

But fractions can also be tricky and confusing. Many students need help with adding and subtracting fractions, especially when they have different denominators. They may make mistakes or get frustrated and give up. That's why we created this article to help 6 th Grade students master fraction math skills for 6th grade so that by the end of this article, your 6th-graders will be able to solve fraction problems with confidence and accuracy.

Review of basic concepts: What are fractions, and how to compare, simplify, and equivalent them

Before diving into adding and subtracting fractions, let's review some basic concepts that 6 th graders need to know. A fraction is a way of representing a part of a whole or a part of a group. A fraction has two parts: a numerator and a denominator. The numerator is the number above the fraction bar that tells us how many parts we have. The denominator is the number below the fraction bar that tells us how many parts the whole or the group is divided into.

For example, in the fraction 3/4, the numerator is 3, and the denominator is 4. This means we have 3 parts out of 4 equal parts of a whole or a group.

Comparing Fractions

One of the skills that students need to master when working with fractions is how to compare them. How do you know which fraction is larger or smaller than another? We can use two methods to compare fractions : cross-multiplying and finding a common denominator .

Cross-multiplying is a method that involves multiplying the numerator of one fraction by the denominator of another fraction and comparing the results. For example, to compare 2/3 and 3/5, we can cross-multiply as follows:

2/3 > 3/5

2 x 5 > 3 x 3

Since 10 is greater than 9, 2/3 is greater than 3/5.

Finding a common denominator is another method that involves making the denominators of two fractions the same by multiplying them by appropriate factors. For example, to compare 2/3 and 3/5, we can find a common denominator as follows:

2/3 x 5/5 > 3/5 x 3/3

10/15 > 9/15

Since both fractions have the same denominator, we can compare their numerators. Since 10 is greater than 9, 2/3 is greater than 3/5.

Simplifying Fractions

Another skill that you need to master when working with fractions is how to simplify them. Simplifying a fraction means reducing it to its lowest terms by dividing the numerator and the denominator by their greatest common factor (GCF). The GCF is the largest number that can divide both numbers evenly. For example, to simplify 12/18, we can find the GCF of 12 and 18 as follows:

12 = 2 x 2 x 3

18 = 2 x 3 x 3

GCF = 2 x 3 = 6

Then we can divide both the numerator and the denominator by the GCF as follows:

12/18 = (12 ÷ 6) / (18 ÷ 6)

12/18 = 2/3

The simplified fraction is 2/3.

Equivalent Fractions

A related skill important for 6 th graders to master when working with fractions is how to equivalent them. Equivalent fractions have different numerators and denominators but represent the same value or amount. For example, 1/2 and 2/4 are equivalent fractions because they represent half of a whole or a group.

To find equivalent fractions, we multiply or divide the numerator and the denominator by the same number (except zero). For example, to find an equivalent fraction for 1/2, we can multiply both the numerator and the denominator by 2 as follows:

1/2 = (1 x 2) / (2 x 2)

The equivalent fraction is 2/4.

These are some basic concepts you need to know when working with fractions. Now let's practice adding and subtracting fractions with like and unlike denominators.

Adding fractions with like and unlike denominators: Step-by-step examples and practice problems for 6 th Grade adding and subtracting fractions

As we said earlier, visit Mathskills4kids.com, where you’ll find a simple step-by-step guide with practice problems for 6th Grade adding and subtracting fractions .

Adding fractions is one of the operations we frequently encounter when working with fractions. To add fractions , we must follow different steps depending on whether the fractions have like or unlike denominators .

Like denominators are denominators that are the same. For example, 2/5 and 3/5 have like denominators because they have 5 as their denominator. Unlike denominators are denominators that are different. For example, 2/5 and 3/7 have unlike denominators because they have different numbers as their denominators.

To add fractions with like denominators , we need to follow these steps:

• Add the numerators and keep the denominator the same.
• Simplify the result if possible.

For example, to add 2/5 and 3/5, we can follow these steps:

2/5 + 3/5 = (2 + 3) / 5

2/5 + 3/5 = 5/5

2/5 + 3/5 = 1

The result is 1.

To add fractions with unlike denominators , we need to follow these steps:

• Find a common denominator by multiplying the denominators of both fractions.
• Multiply the numerator and the denominator of each fraction by the same factor to make them equivalent to the common denominator.

For example, to add 2/5 and 3/7, we can follow these steps:

2/5 + 3/7 = ?

Common denominator = 5 x 7 = 35

2/5 x 7/7 = 14/35

3/7 x 5/5 = 15/35

14/35 + 15/35 = (14 + 15) / 35

14/35 + 15/35 = 29/35

The result is 29/35.

Here are some practice problems for you to try adding fractions with like and unlike denominators. You can check your answers at the end of this post.

• Add: 4/9 + 2/9
• Add: 3/8 + 1/4
• Add: 5/12 + 7/18
• Add: 9/10 + 3/5
• Add: 7/15 + 4/15

Subtracting fractions with like and unlike denominators: Step-by-Step Examples and Practice Problems

Subtracting fractions is another operation that students will encounter frequently when working with fractions. To subtract fractions, we will follow similar steps as adding fractions depending on whether the fractions have like or unlike denominators .

To subtract fractions with like denominators, you need to follow these steps:

• Subtract the numerators and keep the denominator the same.

For example, to subtract 2/5 from 3/5, we can follow these steps:

3/5 - 2/5 = (3 - 2) / 5

So, 3/5 - 2/5 = 1/5

The result is 1/5.

To subtract fractions with unlike denominators, we need to follow these steps:

For example, to subtract 2/5 from 3/7, we can follow these steps:

3/7 - 2/5 = ?

15/35 - 14/35 = (15 - 14) / 35

15/35 - 14/35 = 1/35

The result is 1/35.

Common mistakes and how to avoid them: Tips and tricks for solving fraction problems accurately

One of the most challenging aspects of fraction math is avoiding common mistakes that can lead to incorrect answers. Here are some of the most frequent errors that 6th-grade students make when adding and subtracting fractions and how to avoid them .

To find the LCD, we can use prime factorization, which involves breaking down each number into its prime factors (the smallest numbers that can only be divided by themselves and 1). For example, the prime factors of 12 are 2, 2, and 3. Then, we multiply the highest power of each prime factor that appears in either denominator.

For example, the highest power of 2 in either 3 or 4 is 2, and the highest power of 3 in either 3 or 4 is 1. So, we multiply 2 x 2 x 3 to get 12, which is the LCD.

Once we find the LCD, we multiply each fraction by a factor that will make its denominator equal to the LCD. For example, to add 1/3 and 1/4, we multiply both fractions by a factor that will make their denominators equal to 12. We can do this by multiplying the numerator and denominator of each fraction by the same number.

For example, to make the denominator of 1/3 equal to 12, we need to multiply it by 4/4, which is equivalent to 1. This gives 4/12. Similarly, to make the denominator of 1/4 equal to 12, we need to multiply it by 3/3, which gives 3/12.

Now, we can add the fractions with like denominators: 4/12 + 3/12 = 7/12.

The GCF is the largest number that both numbers can divide into evenly. For example, the GCF of 8 and 12 is 4 because 4 is the largest number that both 8 and 12 can divide into without a remainder. To simplify a fraction, we divide the numerator and denominator by their GCF. For example, to simplify 8/12, we divide both numbers by their GCF of 4. This gives 2/3.

To add or subtract mixed numbers, we must first convert them to improper fractions. To do this, we multiply the whole number by the fraction's denominator and then add the numerator.

For example, to convert 2 1/2 to an improper fraction, multiply 2 by 2, then add 1. This gives 5. Then, write this number over the same denominator as the original fraction. This gives you 5/2.

To do this, we divide the numerator by the denominator of the fraction and write the quotient as the whole number part of the mixed number. Then, we write the remainder over the same denominator as the original fraction.

For example, to convert 5/2 back to a mixed number, divide 5 by 2 and write 2 as the whole number part of the mixed number. Then, write 1 over 2 as the fractional part of the mixed number. This gives 2 1 / 2.

Tips and tricks for adding and subtracting fractions

Here are some tips and tricks to help your 6 th graders master adding and subtracting fractions .

You can also use fraction circles for them to see that 1/3 and 2/6 are equivalent because they cover the same amount of space in a circle divided into six equal parts.

• Encourage your students to use estimation to check their answers and see if they make sense . For example, if they add 1/4 and 2/3, they can estimate that the answer should be close to 1 because 1/4 is about a quarter of a whole, and 2/3 is about two-thirds of a whole. They may have made a mistake if they get an answer that is much larger or smaller than 1.
• Use mental math strategies to simplify fractions before adding or subtracting them . For example, if students add 2/6 and 3/9, ask them to simplify both fractions by dividing them by their GCF of 3. This gives them 2/6 = 1/3 and 3/9 = 1/3. Then, they can add the simplified fractions: 1/3 + 1/3 = 2/3.

Then, let them add these numbers to get the answer's numerator:  5 + 8 = 13. Next, they’ll cross-multiply 4 by 5, which gives 20, and write this number as the answer's denominator:  13 / 20.

Finally, they’ll simplify the answer if possible:  13 / 20 cannot be simplified further, so it is the final answer.

Bonus: Additional resources to improve 6 th Grade addition and subtraction of fractions

If you want some additional resources for your kids to practice and improve their fraction math skills further, here are some 6th Grade addition and subtraction of fractions free printable worksheets , games, exercises, and quizzes that you can use:

• Online games and quizzes test your knowledge and speed of adding and subtracting fractions, such as https://www.mathsisfun.com/fractions_addition.html .
• Worksheets and exercises that provide step-by-step solutions and explanations for adding and subtracting fractions with like and unlike denominators, such as https://www.k5learning.com/free-math-worksheets/sixth-grade-6/fractions-addition-subtraction or https://www.math-drills.com/fractions.php .
• Videos and tutorials demonstrating how to add and subtract fractions using different methods and strategies, such as https://www.khanacademy.org/math/arithmetic/fraction-arithmetic .

Thank you for sharing the links of MathSkills4Kids.com with your loved ones. Your choice is greatly appreciated.

Conclusion: How to apply fraction math skills in real-life situations and beyond

Adding and subtracting fractions is vital for grade six math, many real-life situations, and beyond. Here are some examples of how to apply fraction math skills in everyday life :

• Cooking and baking : Many recipes use fractions to measure ingredients, such as cups, tablespoons, teaspoons, etc. We may need to add or subtract fractions to adjust the quantities or portions of the ingredients according to our needs or preferences.
• Shopping and budgeting : Many prices and discounts use fractions or percentages, such as half-price, 25% off, etc. We may need to add or subtract fractions to compare prices or calculate how much we’ve saved or spent.
• Sports and games : Many scores and statistics use fractions or decimals, such as batting averages, shooting percentages, etc. We may need to add or subtract fractions to compare different players' or teams' performances or outcomes.
• Art and music : Many patterns and rhythms use fractions or ratios, such as half-notes, quarter-notes, etc. We may need to add or subtract fractions to create or analyze different compositions or arrangements.

As you can see, fraction math skills are useful for many aspects of life. By learning to add and subtract fractions accurately and confidently in grade six, your students will be well-prepared for more advanced math topics in higher grades and beyond.

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6th Grade Word Problems With Fractions And Decimal

6th Grade Word Problems With Fractions And Decimal - Displaying top 8 worksheets found for this concept.

Some of the worksheets for this concept are Fraction and decimal word problems no problem, 6th grade math work fractions and decimals, Word problem practice workbook, Grade 6 math word problems with percents, One step word problems, Decimals work, Exercise work, Fraction word problems.

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2. 6th grade math worksheets fractions and decimals, 3. word problem practice workbook, 4. grade 6 math word problems with percents, 5. one-step word problems -, 6. decimals worksheets, 7. exercise worksheets, 8. fraction word problems.

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6th Grade Percent Word Problems

Welcome to our 6th Grade Percent Word Problems page. In this area, we have a selection of percentage problem worksheets for 6th graders designed to help children learn to solve a range of percentage problems.

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Here you will find a selection of worksheets on percentages designed to help your child practise how to apply their knowledge to solve a range of percentage problems..

The sheets are graded so that the easier ones are at the top.

The sheets have been split up into sections as follows:

• general percentage problems;
• solving percentage problems with bar graphs.

Each of the general problem solving sheets has also been split into 2 different worksheets:

• Sheet A which is set at an easier level;
• Sheet B which is set at a harder level;

Some of our worksheets have UK versions, which use £ instead of $.

6th Grade Percentages Problems Worksheets - General Problems

There are 6 problems on each sheet. Sheet A is an easier version and Sheet B is a harder version.

Answer sheets include example working out to solve the problems.

• 6th Grade Percent Word Problems Sheet 6.1A
• PDF version
• 6th Grade Percent Word Problems Sheet 6.1B
• 6th Grade Percent Word Problems Sheet 6.2A
• UK version Worksheet
• UK version Answers
• UK Version PDF
• 6th Grade Percent Word Problems Sheet 6.2B
• UK Version Worksheet
• UK Version Answers
• 6th Grade Percent Word Problems Sheet 6.3A
• 6th Grade Percent Word Problems Sheet 6.3B

6th Grade Bar Graph Percentage Word Problems

These sheets involve using bar graph data to solve different percentage problems.

There is only one version of each sheet, and both sheets are at a similar level of difficulty.

• 6th Grade Bar Graph Percentage Word Problems 6.1
• 6th Grade Bar Graph Percentage Word Problems 6.2

Bar Graph Percentage Word Problems Walkthrough Video

This short video walkthrough shows the problems from our 6th Grade Bar Graph Percentage Word Problems Worksheet 6.2 being solved and has been produced by the West Explains Best math channel.

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Percentage of Number Worksheets

If you would like some practice finding the percentage of a range of numbers, then try our Percentage Worksheets page.

You will find a range of worksheets starting with finding simple percentages such as 1%, 10% and 50% to finding much trickier ones.

• Percentage of Numbers Worksheets
• Percentage Increase and Decrease Worksheets

We have created a range of worksheets based around percentage increases and decreases.

Our worksheets include:

• finding percentage change between two numbers;
• finding a given percentage increase from an amount;
• finding a given percentage decrease from an amount.

Converting Percentages to Fractions

To convert a fraction to a percentage follows on simply from converting a fraction to a decimal.

Simply divide the numerator by the denominator to give you the decimal form. Then multiply the result by 100 to change the decimal into a percentage.

The printable learning fraction page below contains more support, examples and practice converting fractions to decimals.

• Converting Fractions to Percentages

• Convert Percent to Fraction

Online Percentage Practice Zone

Our online percentage practice zone gives you a chance to practice finding percentages of a range of numbers.

You can choose your level of difficulty and test yourself with immediate feedback!

• Online Percentage Practice
• Ratio Part to Part Worksheets

These sheets are a great way to introduce ratio of one object to another using visual aids.

The sheets in this section are at a more basic level than those on this page.

How to Print or Save these sheets 🖶

Need help with printing or saving? Follow these 3 steps to get your worksheets printed perfectly!

• How to Print support

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Proportions word problems

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Math worksheets: Proportions word problems

Below are grade 6 math worksheets with proportions word problems.

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