problem solving in fraction grade 5

Fraction Word Problems (Grade 5)

Related Pages Common Core for Grade 5 More Lessons for Grade 5

These lessons, with videos, examples and solutions help Grade 5 students learn to 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 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2.

Common Core: 5.NF.2

Suggested Learning Targets

• I can solve addition and subtraction word problems with fractions.
• I can estimate fractions to make sense of my answer.

Solve Fraction Word Problems with Visual Bar Models

Example: Kayla weighed her Halloween treats. She counted 1/4 of a pound of lollipops and 2/7 of a pound of gobstoppers. She also counted 1/3 of a pound of mints. How many pounds of candy did Kayla have altogether?

Printable & Online Fraction Worksheets

Add mixed numbers word problems

Example: While gardening, Jan spend 1 3/4 hours planting and 2 1/8 hours trimming. What was the total hours worked by Jan in her garden?

Solve word problems involving addition of fractions - unlike denominators

Example: Matthew ran 1/6 of a mile then took a break before running another 3/4 of a mile. How far did Matthew run in all?

Subtracting Fractions From Whole Numbers Solve a word problem using bar models.

Example: A craft store has a 9-yard spool of ribbon. In the morning, a customer buys 1/5 yard of ribbon from the spool. In the afternoon, another customer buys 7/10 yard of ribbon from the spool. How much ribbon is left?

Adding and subtracting unlike fractions word problems

• Drew and Maddy were filling the class raised garden bed with soil. Drew shoveled in 1/3 of a cubic yard, and Maddy shoveled in 1/2 of a cubic yard. How much soil did they put into the garden bed altogether?
• Caden invited Owen over to his house. Caden shared his chocolate stash from last Halloween. He still had 4/5 of a pound of chocolate. Caden asked Owen how much chocolate he would like. Owen said that he would like 1/3 of a pound of chocolate. How much chocolate does Caden have left?

Adding and subtracting mixed numbers word problems

• Jaida went gold panning and found 1 1/5 pounds of gold. The next day she found 3 1/4 pound more. How much total gold did Jaida find?
• Jonathan collected 4 1/2 kilograms of filberts. He gave 2 3/4 kilograms to his friend. How many kilograms of filberts does Jonathan have now?

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5th Grade Math Word Problems Real-Life Problems

Welcome to our 5th Grade Math Word Problems page. Here you will find our range of Fifth Grade Math Problem Worksheets which will help your child apply and practice their Math skills to solve a range of 'real life' problems.

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5th Grade Math Word Problems

Here you will find a range of problem solving worksheets.

The sheets involve using a range of math skills and knowledge to solve problems.

Each problem sheet is available in both standard and metric units (where appropriate), and come complete with an answer sheet.

The sheets in this section have all come from 'real life' data such as mountains, rivers or space. Children will be able to apply their math to solve and answer 'real' problems.

Using these sheets will help your child to:

• apply their addition, subtraction, multiplication and division skills;
• apply their knowledge of rounding and place value;
• solve a range of 'real life' problems.

5th Grade Word Problems

The 7 longest rivers.

The 7 longest rivers involves adding and subtracting numbers in the thousands, and also place value and ordering numbers to 10,000.

• 7 Longest Rivers metric units
• PDF version
• 7 Longest Rivers standard units

On the Mountains

On the mountains involves addition and subtraction of numbers to 5 digits, and also rounding and ordering numbers to 10,000 (metric) or 100,000 (standard).

• On the Mountains metric units
• On the Mountains standard units

Temperatures around the world

This problem worksheet involves ordering positive and negative numbers, as well as working out differences between positive and negative numbers. The mean and median temperatures also need to be calculated.

• Temperatures Around the World 3 (Celsius)
• Temperatures Around the World 3 (Fahrenheit)

The Solar System

The Solar System worksheets involves doubling numbers and rounding to the nearest 1000. Addition and subtraction of large numbers to 5 digits, ordering large numbers and approximation are also tackled.

• The Solar System (Metric units)
• The Solar System (Standard units)

US National Parks

This 5th grade math word problem sheet involves addition and subtraction of large numbers to 5 digits, place value and ordering. Approximation and multiplication are also used.

• US National Parks (metric units)
• US National Parks (standard units)

Salamanders of the Caribbean Problems

This problem sheet involves rounding and ordering BIG numbers up to 12 million to the nearest 1000, as well as addition and subtraction of the numbers.

• Salamanders of the Caribbean problems

Nearest Stars

This problem sheet involves rounding decimals to the nearest whole number, as well as ordering decimals to 2 decimal places. Adding and subtracting decimals, and doubling decimals are also used.

• Nearest stars

Whales Problems

This worksheet involves ordering decimals to 1 or 2dp, as well as ordering large numbers. Addition and subtraction of large numbers and decimals is also used, as well as approximation and multiplication.

• Whale problems metric units
• Whale problems standard units

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Ratio Problems

Here you will find a selection of ratio problem sheets which will help your child practice and apply their ratio knowledge and skills to solve a range of problems.

Looking for some easier word problems?

If you are looking for some easier math problems, why not try our 4th grade math problem page.

The problems on this page are at an easier level than those here.

The numbers are simpler and the problems themselves are less complex.

• 4th Grade Math Word Problems

More 5th Grade Math Problems

Here you will some more of our 5th grade math word problems.

Each sheet is availabel in both standard and metric units (where applicable).

Each sheet comes complete with a separate answer sheet.

All the problems are based around 'real life' such as the planets, heights of mountains, or length of rivers.

Using these sheet will help your child to:

• solve a range of problems including "real life" problems and ratio problems.

All the worksheets help to support Elementary math benchmarks.

These sheets involve solving one or two more challenging longer problems.

• 5th Grade Math Problems

These sheets involve solving a range of ratio problems.

• Multiplication Word Problems 5th Grade
• 5th Grade Measurement Worksheets

Here is our selection of measurement worksheets for 5th graders.

These sheets involve reading scales in both the standard and metric systems.

The scales include finding the length, weight or liquid capacity.

Using these sheets will help your child understand how to:

• learn how to read a standard scale going up in different fractions: halves, quarters, eighths and sixteenths;
• learn how to read a metric scale going up in 0.1s, 5s, 10s, 25s, 50s & 100s;
• learn how to estimate a measurement of length, weight or liquid.

Using these sheets will help children to consolidate their fractions and place value learning.

Fifth Grade Math Games

Here you will find a range of free printable 5th Grade Math games.

All children like to play Math games, and you will find a good range of Grade 5 Math Games here for your child to play and enjoy.

The following games involve different 5th Grade Math activities which you and your child can enjoy together.

• Math Games 5th Grade

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Free Printable Fraction Word Problems Worksheets for 5th Grade

Math Fraction Word Problems: Discover a vast collection of free printable worksheets tailored for Grade 5 students, aimed at enhancing their understanding and mastery of fractions through real-life scenarios. Dive into a world of learning with Quizizz!

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Explore printable Fraction Word Problems worksheets for 5th Grade

Fraction Word Problems worksheets for Grade 5 are an essential tool for teachers looking to help their students master the challenging world of math. These worksheets provide a variety of real-life scenarios that require students to apply their understanding of fractions, decimals, and percentages to solve problems. By incorporating these worksheets into their lesson plans, teachers can ensure that their students are developing strong problem-solving skills and a solid foundation in math. Additionally, these Grade 5 worksheets cover a wide range of topics, including addition, subtraction, multiplication, and division of fractions, as well as converting between fractions, decimals, and percentages. This comprehensive collection of Fraction Word Problems worksheets for Grade 5 is an invaluable resource for any teacher looking to support their students' growth in math.

Quizizz is an innovative platform that offers a variety of engaging and interactive resources for teachers, including Fraction Word Problems worksheets for Grade 5. With Quizizz, teachers can easily create and share custom quizzes, polls, and presentations to supplement their lesson plans and engage their students in a fun and interactive way. In addition to Fraction Word Problems worksheets, Quizizz also offers a vast library of Math Word Problems covering various topics and grade levels. Teachers can search for and assign these quizzes to their students, track their progress, and provide instant feedback to help them improve their understanding of the subject matter. By incorporating Quizizz into their teaching strategies, educators can enhance their students' learning experience and ensure they are well-prepared for success in Grade 5 Math and beyond.

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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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5th Grade Math: Fractions Worksheets

Is your child struggling with fractions? Our fractions worksheets for 5th graders are designed to make learning fractions engaging and effective. These worksheets cover a wide range of topics including improper fractions, mixed numbers, fraction operations, and more. Students will master skills like identifyi ... Read more ng fractions on a number line, comparing unlike fractions, and converting mixed numbers. These worksheets are perfect for building a strong foundation in fractions. Start now for free!

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• Math (2,607)
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• Compare Numbers (9)
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• Multiplication (196)
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• Distributive Property Of Multiplication (40)
• Multiply By Multiples Of 10 (15)
• Multi-Digit Multiplication (110)
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Fractions Using Models Worksheets

Choose the Correct Fraction Worksheet

This worksheet will help enhance your skills in identifying and selecting the correct fraction using various models.

Choose the Correct Fraction Model Worksheet

Improve your fractions skills with this worksheet on choosing correct fraction models.

Identify Mixed Numbers Represented by the Model Worksheet

Assess your math skills by identifying mixed numbers represented by the model in this worksheet.

Choose the Correct Mixed Number Worksheet

An engaging worksheet to practice identifying and matching mixed numbers with their correct models.

Fractions On A Number Line Worksheets

Identify Missing Fractions on the Number Line Worksheet

Boost your skills with this worksheet on identifying missing fractions on the number line!

Identify Missing Improper Fractions on the Number Line Worksheet

A worksheet to master identification of missing improper fractions on a number line.

Round Fractions to the Nearest Whole Number Worksheet

Print this worksheet to practice rounding fractions to the nearest whole number like a math legend!

Identify the Fractions Marked by the Given Letter on the Number Line Worksheet

Enhance your fraction identification skills with this worksheet on number line fractions.

Compare Fractions Worksheets

Check Fraction Comparison Using Models Worksheet

Enhance your fraction comparison skills with our visually engaging worksheet on visual models.

Compare Unit Fractions on the Number Line Worksheet

Boost fraction comparison skills with this worksheet using number lines for unit fractions.

Compare Unlike Fractions using 1 as Benchmark Worksheet

Learn fractions at the speed of lightning by comparing unlike fractions using 1 as the benchmark.

Circle the Greater Fraction Worksheet

Boost fraction comparison skills with our worksheet using visual models for better understanding.

Order Fractions Worksheets

Check Fraction Order Using Models Worksheet

Enhance your skills in ordering fractions with this interactive worksheet using visual models.

Enter the Correct Symbol Worksheet

Boost your fraction ordering skills with this 'Ordering Fractions' worksheet using visual models.

Circle the Greatest Fraction Worksheet

This worksheet provides exercises on identifying the greatest fraction using visual models.

Circle the Smallest Fraction Worksheet

A worksheet to enhance skills in ordering fractions using visual models by identifying the smallest one.

Equivalent Fractions Worksheets

Find Equivalent Fractions and Plot Worksheet

Boost your fraction skills with this worksheet, teaching how to find and plot equivalent fractions.

Create Equivalent Fractions by Decomposing Worksheet

Solidify your math skills by practicing to create equivalent fractions by decomposing.

Choose Equivalent Fraction Models Worksheet

Enhance your skills with our worksheet on identifying equivalent fractions using visual models.

Find Equivalent Fractions using Number Line Worksheet

Improve your fraction skills with this worksheet on finding equivalent fractions using number lines.

Improper Fractions As Mixed Numbers Worksheets

Use Models to Convert Fractions to Mixed Numbers Worksheet

Make math practice a joyride by using models to convert fractions into mixed numbers.

Number Bonds and Fractions Greater than 1 Worksheet

Learners must practice number bonds and fractions greater than 1 to enhance their math skills.

Converting Fractions to Mixed Numbers Using Models Worksheet

Dive into this printable worksheet by converting fractions into mixed numbers using models.

Complete the Number Bonds Worksheet

Focus on core math skills with this fun worksheet by solving to complete the number bonds.

Fractions Operations Worksheets

Add Mixed Numbers Without Models Worksheet

Put your skills to the test by practicing to add mixed numbers without models.

Add Like Fractions using Area Models Worksheet

Reinforce math concepts by practicing to add like fractions using area models.

Subtract Fractions from 1 Worksheet

Solidify your math skills by practicing to subtract fractions from 1.

Subtract Mixed Numbers Without Models Worksheet

Assess your math skills by subtracting mixed numbers without models in this worksheet.

All Fractions Worksheets

Compare Unlike Fractions Worksheet

Reinforce math concepts by practicing to compare unlike fractions.

Check the Fraction Order Worksheet

This worksheet will test your ability to correctly order fractions without the aid of visual models.

Create Equivalent Fractions using Division Worksheet

Reveal the secrets of math wizardry by practicing to create equivalent fractions using division.

Convert Mixed Numbers Using Models Worksheet

Use this printable worksheet to convert mixed numbers using models to strengthen your math skills.

Fraction Multi-Step Word Problems Worksheet

This downloadable worksheet is designed to practice multi-step word problems on fractions.

Compare Fractions by Finding Common Denominator Worksheet

Become a mathematician by practicing to compare fractions by finding common denominator.

Missing Denominator to Order Fractions Worksheet

This worksheet focuses on finding the missing denominator to properly order fractions.

Equivalent Fractions by Multiplying or Dividing Worksheet

Reinforce math concepts by practicing equivalent fractions by multiplying or dividing.

Convert Mixed Numbers Using Area Models Worksheet

Use this printable worksheet to convert mixed numbers using area models.

Multi-Step Word Problems on Fractions Worksheet

Be on your way to become a mathematician by solving multi-step word problems on fractions.

Find Common Denominator & Compare Unlike Fractions Worksheet

Make math practice a joyride by solving to find common denominator & compare unlike fractions.

Missing Numerator to Order Fractions Worksheet

Enhance your fraction ordering skills with this worksheet on finding missing numerators!

Multiply or Divide to Create Equivalent Fractions Worksheet

In this worksheet, learners will have to multiply or divide to create equivalent fractions.

Convert Mixed Numbers Worksheet

Use this printable worksheet to convert mixed numbers to strengthen your math skills.

Multiplication of Fractions as Repeated Addition Worksheet

Become a mathematician by practicing multiplication of fractions as repeated addition.

Compare Fraction Products Worksheet

Make math practice a joyride by solving problems to compare fraction products.

Order Fractions Using Symbols Worksheet

This worksheet provides exercises on ordering fractions using symbols without the help of visual aids.

Misconceptions around Equivalent Fractions Worksheet

Learn all about fractions by practicing misconceptions around equivalent fractions.

Find Way by Converting Mixed Numbers into Fractions Worksheet

Boost math skills with this worksheet on transforming mixed numbers into fractions.

Fraction Multiplication as Sum of Unit Fractions Worksheet

Print this worksheet to practice fraction multiplication as the sum of unit fractions.

Choose the Fraction of Objects Worksheet

An engaging worksheet on identifying fractions using real-world objects for better understanding.

Mark the Fractions on an Open Number Line Worksheet

This worksheet tests your ability to accurately place fractions on an open number line.

Add Unlike Fractions and Compare Worksheet

This worksheet provides exercises on adding fractions with different denominators and comparing the results.

Rewrite and Order Worksheet

This worksheet helps students refine their skills in rewriting and arranging fractions without the use of visual aids.

Misconceptions on Equivalent Fractions Worksheet

Print this worksheet to practice misconceptions on equivalent fractions like a math legend!

Decompose Fractions to Mixed Numbers Worksheet

In this worksheet, learners will get to decompose fractions to mixed numbers.

Convert and Match Mixed Numbers Worksheet

Improve your understanding of fractions with this engaging worksheet on converting mixed numbers.

Estimate the Sum Using Models Worksheet

Put your skills to the test by practicing to estimate the sum using models.

Choose the Mixed Number Model Worksheet

Master the representation of mixed numbers using models with this engaging worksheet!

Mark the Fractions on the Number Line Worksheet

This worksheet will help students learn to accurately mark fractions on a number line.

The Missing Number in the Benchmark Worksheet

Boost your skills in benchmark fractions with our engaging worksheet on finding the missing number.

The Greatest Like Fraction Worksheet

This worksheet helps students master the skill of ordering like fractions without the use of visual models.

Misconceptions Statements on Equivalent Fractions Worksheet

Reinforce math concepts by practicing the misconception statements on equivalent fractions.

Improper Fractions to Mixed Numbers Worksheet

Enhance your skills with our worksheet on transforming improper fractions into mixed numbers.

Convert Mixed Number into Fraction Worksheet

Master the art of turning mixed numbers into fractions with this engaging worksheet!

Estimating the Sum Using Models Worksheet

Combine math learning with adventure by estimating the sum using models.

Mathematics: A Medley of Numbers

Mathematics is one of the best ways to help children engage in logical reasoning, thereby helping them deal with day-to-day problems efficiently. We all inhabit a mathematically driven world, and learning mathematical concepts properly can make a notable difference.

You can make fractions simple for your 5th grader by making the educational process interactive. Worksheets are a reliable way to gain a thorough knowledge of fractions and their various types. Worksheets are carefully constructed to encourage an in-depth understanding of fractions.

Online Fractions Worksheets

When we talk about fractions for students in 5th grade, the child must be acquainted with the basic concept. Teaching them once about the topic is not enough; as a parent or a guide, you need to keep making them practice fractions from time to time. Thus, downloadable fraction worksheets for 5th graders are a great help when it comes to mastering the concept.

Create Equivalent Fractions using Area Model: Boost your child’s fraction skills by making them solve this worksheet. This worksheet involves solving problems on equivalent fractions by applying the area model as visual assistance.

Create Equivalent Fractions by Decomposing: Helping your child build a strong foundation in fractions is an essential step to make them proficient and confident. This worksheet involves applying concepts of equivalent fractions to find the answer. Everyday practice will help your child gain confidence in the classroom.

Create Equivalent Fractions using Multiplication: This is a challenging worksheet that involves making equivalent fractions using multiplication. A set of problems are provided, and the student needs to find equivalent fractions using multiplication.

Introducing Fractions to 5th Graders

Simply teaching kids that a fraction is a part of a whole number isn’t going to help a lot. A great way to introduce this concept is to give practical examples while explaining fractions. For example: Ask your kid to divide a chocolate bar to understand how fractions work.

In fractions, the pieces are generally the same size, divided into equal parts. The fractions inform us how many pieces of chocolate we have out of all the pieces in the whole chocolate bar. The denominator represents the total equal parts we have, and the numerator represents how many parts we give out. If the chocolate bar has a total of 8 pieces, and you give out 2, then our fraction would be 2/8.

As many teachers know, learning the concept of fractions is not tough. Instead, the various operations like subtraction, division, simplification, etc., make it complicated. SplashLearn provides printable worksheets for topics covering multiplication, estimating products, addition, etc. After practicing through these online worksheets, your child will apply mathematical concepts easily to everyday problems.

Your one stop solution for all grade learning needs.

Real-life problems, working with fractions

Common Core Standards: Grade 5 Number & Operations: Fractions

CCSS.Math.Content.5.NF.B.6

This worksheet originally published in Math Made Easy for 5th Grade by © Dorling Kindersley Limited .

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Word Problems on Fraction

In word problems on fraction we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers.

I. Word Problems on Addition of Fractions:

1. Nairitee took \(\frac{7}{8}\) hour to paint a table and \(\frac{2}{3}\) hour to paint a chair. How much time did he take in painting both items?

Total time taken in painting both items = \(\frac{7}{8}\) h + \(\frac{2}{3}\) h                                                          = (\(\frac{7}{8}\) + \(\frac{2}{3}\)) h

                                                         = (\(\frac{21 + 16}{24}\)) h

                                                         = \(\frac{37}{24}\) h

                                                         = 1\(\frac{13}{24}\) h

Therefore, Nairitee took 1\(\frac{13}{24}\) hours in painting both items.

2. Nitheeya and Nairitee \(\frac{3}{10}\) and \(\frac{1}{6}\) of a cake respectively. What portion of the cake did they eat together? 

The portion of cake ate by Nitheeya = \(\frac{3}{10}\)

The portion of cake ate by Nitheeya = \(\frac{1}{6}\)  The portion they ate together = \(\frac{3}{10}\) + \(\frac{1}{6}\) 

                                           = \(\frac{9}{30}\) + \(\frac{5}{30}\); [Since, LCM of 10 and 6 = 30]

                                           = \(\frac{9 + 5}{30}\)

                                           = \(\frac{14}{30}\)

                                           = \(\frac{7}{15}\)

Therefore, together Nitheeya and Nairitee ate \(\frac{7}{15}\) of the cake.

3.  Rachel took \(\frac{1}{2}\) hour to paint a table and \(\frac{1}{3}\) hour to paint a chair. How much time did she take in all?

II. Word Problems on Subtraction of Fractions:

1.  Out of \(\frac{12}{17}\)  m  of cloth given to a tailor, \(\frac{1}{5}\)  m  were used. Find the length of cloth unused. 

Length of the cloth given to the tailors = \(\frac{12}{17}\)  m

Length of cloth used = \(\frac{1}{5}\)  m

Length of the unused cloth = \(\frac{12}{17}\)  m -  \(\frac{1}{5}\)  m

                                        = (\(\frac{12}{17}\)  -  \(\frac{1}{5}\))  m

                                        = (\(\frac{12 × 5}{17 × 5}\)  -  \(\frac{1 × 17}{5 × 17}\))  m;  [Since, LCM of 17 and 5 = 85]

                                        = (\(\frac{60}{85}\)  -  \(\frac{17}{85}\))  m

                                        = (\(\frac{60 - 17}{85}\)  m

                                        = (\(\frac{43}{85}\)  m

2.  Nairitee has $6\(\frac{4}{7}\). She gives $4\(\frac{2}{3}\) to her mother. How much money does she have now?

Money with Nairitee = $6\(\frac{4}{7}\)

Money given to her mother = $4\(\frac{2}{3}\)

Money left with Nairitee = $6\(\frac{4}{7}\) - $4\(\frac{2}{3}\)

                                   = $(6\(\frac{4}{7}\) - 4\(\frac{2}{3}\))

                                   = $(\(\frac{46}{7}\) - \(\frac{14}{3}\))

                                   = $(\(\frac{46 × 3}{7 × 3}\) - \(\frac{14 × 7}{3 × 7}\)) ;  [Since, LCM of 7 and 3 = 21]

                                   = $(\(\frac{138}{21}\) - \(\frac{98}{21}\))

                                   = $\(\frac{40}{21}\)

                                   = $1\(\frac{19}{21}\)

Therefore, Nairitee has $1\(\frac{19}{21}\).

3.  If 3\(\frac{1}{2}\) m of wire is cut from a piece of 10 m long wire, how much of wire is left?

Total length of the wire = 10 m

Fraction of the wire cut out = 3\(\frac{1}{2}\) m = \(\frac{7}{2}\) m

Length of the wire left = 10 m – 3\(\frac{1}{2}\) m

            = [\(\frac{10}{1}\) - \(\frac{7}{2}\)] m,    [L.C.M. of 1, 2 is 2]

            = [\(\frac{20}{2}\) - \(\frac{7}{2}\)] m,    [\(\frac{10}{1}\) × \(\frac{2}{2}\)]

            = [\(\frac{20 - 7}{2}\)] m

            = \(\frac{13}{2}\) m

            = 6\(\frac{1}{2}\) m

III. Word Problems on Multiplication of Fractions:

1.  \(\frac{4}{7}\) of a number is 84. Find the number. Solution: According to the problem, \(\frac{4}{7}\) of a number = 84 Number = 84 × \(\frac{7}{4}\) [Here we need to multiply 84 by the reciprocal of \(\frac{4}{7}\)]

= 21 × 7 = 147 Therefore, the number is 147.

2.  One half of the students in a school are girls, \(\frac{3}{5}\) of these girls are studying in lower classes. What fraction of girls are studying in lower classes?

Fraction of girls studying in school = \(\frac{1}{2}\)

Fraction of girls studying in lower classes = \(\frac{3}{5}\) of \(\frac{1}{2}\)

                                                            = \(\frac{3}{5}\) × \(\frac{1}{2}\)

                                                            = \(\frac{3 × 1}{5 × 2}\)

                                                            = \(\frac{3}{10}\)

Therefore, \(\frac{3}{10}\) of girls studying in lower classes.

3.  Maddy reads three-fifth of 75 pages of his lesson. How many more pages he need to complete the lesson? Solution: Maddy reads = \(\frac{3}{5}\) of 75 = \(\frac{3}{5}\) × 75

= 45 pages. Maddy has to read = 75 – 45. = 30 pages. Therefore, Maddy has to read 30 more pages.

IV. Word Problems on Division of Fractions:

1.  A herd of cows gives 4 litres of milk each day. But each cow gives one-third of total milk each day. They give 24 litres milk in six days. How many cows are there in the herd?

Solution: A herd of cows gives 4 litres of milk each day. Each cow gives one-third of total milk each day = \(\frac{1}{3}\) of 4 Therefore, each cow gives \(\frac{4}{3}\) of milk each day. Total no. of cows = 4 ÷ \(\frac{4}{3}\)                          = 4 × \(\frac{3}{4}\)                          = 3 Therefore there are 3 cows in the herd.

Worksheet on Word problems on Fractions:

1. Shelly walked \(\frac{1}{3}\) km. Kelly walked \(\frac{4}{15}\) km. Who walked farther? How much farther did one walk than the other?

2. A frog took three jumps. The first jump was \(\frac{2}{3}\) m long, the second was \(\frac{5}{6}\) m long and the third was \(\frac{1}{3}\) m long. How far did the frog jump in all?

3. A vessel contains 1\(\frac{1}{2}\) l of milk. John drinks \(\frac{1}{4}\) l of milk; Joe drinks \(\frac{1}{2}\) l of milk. How much of milk is left in the vessel?

4. Between 4\(\frac{2}{3}\)and 3\(\frac{2}{3}\) which is greater and by how much?

5. What must be subtracted from 5\(\frac{1}{6}\) to get 2\(\frac{1}{8}\)?

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●   Multiplication is Repeated Addition.

●  Multiplication of Fractional Number by a Whole Number.

●  Multiplication of a Fraction by Fraction.

●  Properties of Multiplication of Fractional Numbers.

●  Multiplicative Inverse.

●  Worksheet on Multiplication on Fraction.

●  Division of a Fraction by a Whole Number.

●  Division of a Fractional Number.

●  Division of a Whole Number by a Fraction.

●  Properties of Fractional Division.

●  Worksheet on Division of Fractions.

●  Simplification of Fractions.

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●  Word Problems on Fraction.

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Recent Articles

Concept of Fractions |Concept of Half| Concept of One Fourth|Two Third

Nov 06, 24 09:18 AM

2nd Grade Division Word Problems | Worksheet on Division Word Problems

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2nd Grade Math Practice | Second Grade Math |2nd Grade Math Worksheets

Nov 05, 24 09:15 AM

2nd Grade Division Worksheet | Dividing 2-digit by 1-digit Numbers

Nov 05, 24 01:15 AM

Even and Odd Numbers Between 1 and 100 | Even and Odd Numbers|Examples

Nov 05, 24 12:55 AM

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Fourth Grade Printable Math Worksheets

These fourth grade math worksheets are perfect to help students understand, learn, and become comfortable using intermediate math skills. The printable activities target operations like multiplication and division, factors, up to 6-digit place value, fractions, decimals, and more. STW has free worksheets available in these 4th grade topic areas. Check out even more 4th grade math content .

Logged in members can use the Super Teacher Worksheets filing cabinet to save their favorite worksheets.

Quickly access your most used files AND your custom generated worksheets!

Please login to your account or become a member and join our community today to utilize this helpful feature.

Fractions & Decimals

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Check out our daily spiral review for 4th grade math students!

Take a look at our daily math word problems for fourth graders.

Try worksheets with multiplication and division operations made specially for 4th graders.

Practice using numbers up to 5 and 6 digits in length with these printable place value worksheets.

Check out a full array of fraction worksheets for 4th graders - and we have just as many decimal printables too!

Students learn about measuring and converting units on these printable measurement worksheets.

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