word problems with fractions grade 7

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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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.

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

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

2.  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?

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

4. One half of the students in a school are girls, 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 = 1/2

Fraction of girls studying in lower classes = 3/5 of 1/2

                                                            = 3/5 × 1/2

                                                            = (3 × 1)/(5 × 2)

                                                            = 3/10

Therefore, 3/10 of girls studying in lower classes.

5.  Maddy reads three-fifth of 75 pages of his lesson. How many more pages he need to complete the lesson? Solution: Maddy reads = 3/5 of 75 = 3/5 × 75

= 45 pages. Maddy has to read = 75 – 45. = 30 pages. Therefore, Maddy has to read 30 more pages. 6.  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 = 1/3 of 4 Therefore, each cow gives 4/3 of milk each day. Total no. of cows = 4 ÷ 4/3                          = 4 × ¾                          = 3 Therefore there are 3 cows in the herd.

Questions and Answers 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?

●   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.

●  Worksheet on Simplification of Fractions.

●  Word Problems on Fraction.

●  Worksheet on Word Problems on Fractions.

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5th Grade Math Problems 

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Free Printable Fraction Word Problems Worksheets for 7th Class

Math Fraction Word Problems: Discover a collection of free printable worksheets tailored for Class 7 students, designed to help them master fractions through engaging word problems. Empower your teaching with Quizizz!

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Explore printable Fraction Word Problems worksheets for 7th Class

Fraction Word Problems worksheets for Class 7 are an essential resource for teachers looking to challenge their students with real-life math scenarios. These worksheets provide a variety of math word problems that require students to apply their knowledge of fractions, decimals, and percentages to solve practical problems. By incorporating these worksheets into their lesson plans, teachers can help students develop critical thinking and problem-solving skills, while also reinforcing their understanding of key math concepts. With a wide range of topics and difficulty levels, these Class 7 math worksheets offer a comprehensive and engaging way for students to practice and improve their skills in solving fraction word problems.

In addition to Fraction Word Problems worksheets for Class 7, teachers can also utilize Quizizz as a supplementary tool to enhance their students' learning experience. Quizizz offers a vast library of interactive quizzes and games that cover a wide range of subjects, including Math Word Problems. Teachers can easily create custom quizzes tailored to their lesson plans, or choose from the extensive collection of pre-made quizzes available on the platform. By incorporating Quizizz into their teaching strategies, educators can provide a fun and interactive way for students to review and reinforce their understanding of math concepts, while also tracking their progress and identifying areas that may require additional support. With Quizizz, teachers have access to a wealth of resources that can help them create engaging and effective learning experiences for their Class 7 students.

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Home > Math Worksheets > Word Problems > Fraction Word Problems

Your students will use basic mathematical (addition, subtraction, multiplication, and division) to solve word problem involving ratios, fractions, mixed numbers, and fractional parts of whole numbers. They will also solve problems requiring them to find a fractional part and find the number which is the specified fractional part of another number. They will practice basic grouping skills, and use simple bar graph diagrams to visualize simple word problems in order to construct equations to solve them. Problems are at both the basic and intermediate levels, and subject matter includes real-world situations (fractional increase, calculation of consumption, etc.). Some worksheets require students to draw a diagram as part of their answer, so additional paper may be required.

This set of worksheets contains introductory lessons, step-by-step solutions to sample problems, a variety of different practice problems, reviews, and quizzes. When finished with this set of worksheets, students will be able to solve word problems involving ratios, fractions, mixed numbers, and fractional parts of whole numbers. These worksheets explain how to solve word problem involving ratios, fractions, mixed numbers, and fractional parts of whole numbers. Sample problems are solved and practice problems are provided.

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Fraction word problems worksheets, click the buttons to print each worksheet and answer key., fraction word problems basic skills.

Students will solve simple word problems involving fractions using basic skills. Ten problems are provided.

Independent Practice

Rosen walked 3/4 of a mile before lunch and 1/2 of a mile after lunch. How far did she walk in all?

Intermediate Skills (Middle School) Worksheet

My recipe calls for 2/3 cups of white flour and 2 1/5 cups of whole wheat flour. How much flour do I need in total of my recipe?

Intermediate Skills Practice

During pie eating contest my dad ate 4 pies and my mom ate 6 ¼ pies. How many pies did they eat altogether?

Intermediate Skills Drill

During pie eating contest my dad ate 5 4/12 pies and my mom ate 2 1/4 pies. How many pies did they eat altogether?

Fractional Parts Using Diagrams Lesson

A bottle of coke costs 3/4 as much as a $20 juice. How much would two bottles of coke and two of juice cost?

Lesson and Practice

There are 15 children in the park. One-third of them are playing basketball. How many children are playing basketball? Draw the diagram for help.

A liter of soda is poured completely into 5 glasses. How much do 3 glasses of soda weigh? (1 liter = 1000 ml)

A History book costs 5/6 of the cost of a Geography book which is $18. What is the cost of two books of History and two of Geography?

Diagrams Drill

A mango juice costs 3/8 as much as a $16 pineapple juice. How much do three mango juices and three pineapple juices costs?

There are 42 children playing in the park. If 3/7 are girls, then how many girls are playing in the park?

Fractional Parts Word Problems Lesson

This worksheet explains how to solve a simple word problem involving fractional increase by using a bar graph as a visual aid. A sample problem is solved.

The price of a barrel of crude oil is $45. If the price goes up by 3/9, what is the new price of a barrel of crude oil?

4 A contractor employs 10 people for building a wall. The labor cost is $36 per labor. The cost goes up by 2/12. What is the new labor cost for 10 people?

Andy earns $36 a day. If his earnings increase by 5/6, what are the increased earnings of Andy?

The cost of aviation fuel is $30 per barrel. If it goes up by 7/15, what is the new cost of the fuel per barrel?

A stock is $30 on Monday and rises by 2/6. What is the new price of the stock?

Fractional Parts (3) Lesson

Harry decides to invest $9,000 in stock and bonds. He invests such that investment in one share is two times of the investment in other share. What is the investment in the first stock?

A solar cell costs 4 times as much as an ordinary battery. Buying the two together would cost $10. How much would 7 solar cells cost?

A package weighs 2 kg 400 g. if there are two books in the package where one of the books weighs 3 times the other, what is the weight of the heavier book?

Sylvester and his friend are in a partnership in a business. Sylvester invests 6 times more than his friend. If they together invested $2,100, what is the investment of his friend?

A passenger aircraft consumes three times as much fuel as a helicopter. If a tanker with 2,000 liter of fuel was used to fill both the aircraft and the helicopter, then how much fuel was used up by the helicopter?

A racing track is 4,000 meters long. It is divided into two unequal segments and each segment is assigned to a different team of workers. If one team prepares the segment 3 times the length of the other, find the length of larger track being prepared?

Fractional Parts Lesson

Sam bought three soccer balls for $9. Emily bought three times as many. How much money did they spend together?

Edwin's age is 54 yrs and Albert’s age is 2/3 of the age of Edwin. What is the sum of ages of Edwin and Albert?

A bigger cube can contain 30 marbles and a smaller cube can contain 3/10 the number the larger cube can hold. What is the difference between the number of marbles the bigger cube can hold and the smaller cube?

A piece of iron costs $80 and a sheet of steel costs 3/4 the cost of the iron. Then what is the difference between the cost of the piece of steel and the piece of iron?

Aviation fuel is 1/2 times more costly than ordinary fuel. If ordinary fuel costs $100 per barrel, what is the total cost of 2 liters of aviation and 2 liters ordinary fuels?

The volume of a cylinder is three times of the volume of a cone. If the volume of the cone is 50 cubic meter, what is the volume of 3 such cylinder put together?

Elementary Basic Skills

Lisa has 6 shirts for every 5 pair of skirts. If she has 42 shirts, how many pairs of skirts does she have?

Elementary Independent Practice

During the pie eating contest my dad ate 5 2/4pies and my mom ate 2 1/4pies. How many pies did they eat altogether?

Elementary Intermediate Worksheet

There are 24 hours in a day and pupils says that we should work for 3/8 of the day. How much time should we spend working?

Elementary Intermediate Practice

Jack takes inventory of his closet and discovers that he has 9 shirts for every 4 pairs of jeans. If he has 72 shirts, how many pairs of jeans does he have?

Elementary Intermediate Drill

There are 35 pupils in the class, 3/5 of the pupils support marries and the remainder support Nancy. How many pupils support Nancy?

Word Problems with Mixed Numbers Lesson

This worksheet explains how to solve a word problem involving mixed numbers. A sample problem is solved, and two practice problems are provided.

During a cake eating contest, a man ate 4-1/4 cakes and his son ate 3-1/4 cakes. How many cakes did they eat altogether?

Jim picked 4 black shirts and 3 blue shirts. Ron picked 8 black shirts and some blue shirts. The ratio of black shirts to blue shirts picked by Jim and Ron were the same. How many blue shirts did Ron pick?

If the fractions have the same denominator, perform the necessary operation on the two numbers. In this case, subtract the whole numbers and the fractions.

There are 50 students in a college, 1/5 of the students filled out their forms and the remainder did not fill out their forms for the exams. How many students did not fill out their forms?

To make 45 drawings, Jack uses 40 colors to 20 brushes. If he uses 40 colors, how many brushes will he use?

Word Problems Involving Fractions Lesson

A worker in a factory works for twelve hours in a day. What fraction of the day does he work in the factory?

Students will review how to solve a simple word problem to find a fraction. A sample problem is solved and two practice problems are provided.

In a hotel fifteen chocolates and twenty-three candies were distributed in children. What fraction of candies were distributed in that hotel?

Smith divided an apple into twelve equal pieces. He ate five pieces. He put the other seven in the fridge. What fraction did Smith eat?

Wilson has eighteen pencils. Three of them do not have erasers on the end. What fraction of the pencils does have erasers of the end?

Jackson has eight chocolate bars. He gives two to John, three to Sandy, and rest of chocolate bars to Ben. What fraction of the chocolate bars did he give to Ben?

Fractions in Word Problems Lesson

At a Birthday party the girls ate 2/7 of the pizzas and boys ate 4/5 of the pizzas.

Danny went to the shopping center and bought 4/5 of a pound of jelly beans and 2/5 pound of gummy bears. How much candy did he purchase?

There are 24 hours in a day and scientists tell us that we should sleep for 3/8 of the day. How much time should we spend sleeping?

A rectangle measures 5-1/2 inches on one side and 5-1/9. What is the perimeter of the rectangle?

Tom bought a board that was 7/8 of a yard long. He cut off 1/2 of a yard. How much was left?

A rectangle measures 7-11/2 inches on one side and 15 1/2. What is the perimeter of the rectangle?

Word Problems About Fractions Lesson

There are 24 hours in a day. A worker in a factory works for 1/3 of the day. Find how many hour he works in the factory?

If the ratio of men to women in a city is 5 to 3 and there are total 864 people, How many of them are women?

James bought a new camera. He took pictures of birds and squirrels at the park. He took 64 pictures in total; out of that 3/8 of the pictures are of squirrels. How many pictures did he take of birds only?

Davis and Miller collect tickets. Davis collects 50 tickets for every 40 tickets of Miller. Find the total number of tickets that Miller collects if they totally collect 360 tickets?

Tommy earns 1/2 day of vacation time for every one week of work. How much vacation time does he earn for working 6 weeks?

Jackson can eat 15 mangoes in 3 hours. How much time will it take to eat 105 mangoes?

Fraction Skills Lesson

This worksheet explains how to solve a word problem to find a ratio. A sample problem is solved.

A man had a forty meter of ribbon. He cut off pieces measuring three-forth of a meter each. How many pieces did he cut?

Sam has three and four-fifths kg of rice and Jimmy has two and one-fifths kg of rice. How much rice did they have altogether?

My present age is twenty-two and half years. My brother is two and half years older than me. Find my brothers present age.

Ice-cream cost is one-sevenths the of dinner cost. Your total dinner cost is $280. Find cost of ice-cream?

Meet the Skill

The rectangular field has dimensions 3 ½ x 11 inches. What is the area of the rectangle in square inches?

Try the Skill

The farmer gets 1/7 of the total potato sales, the wholesale dealer gets 1/11, and the store merchant gets the rest. What part does the store merchant gets?

Practice the Skill

A carpet has the length of 5 inches. How many 1/8 inches tiles are needed to cover the carpet fully?

Practice the Skill Twice

Alice paid a $4 in the market for erasers. She paid 1/5 as taxes and 1/4 exclusively as Value Added Tax. Find the cost of erasers.

Show the Skill

A square table measures 2 meters. How many chessboards can be put on the square table if each chess board has dimensions 1/4 x 2/4 meter?

Three graphic designers are assigned a project consisting of editing 120 images. The first two designers completed respectively, 1/3 and 2/6 of the total images. Find the work done by the third designer?

Fraction Problems in Words Lesson

Jack donates 4 5/4 of his salary in a month, and John donates 3-3/4 of his salary in a month. How much more of a donation did Jack make?

During a pie eating contest, a man ate 4-1/4 pies and his son ate 3-1/4 pies. How many pies did they eat altogether?

Tim picked 4 green jackets and 3 blue jackets. Megan picked 8 green jackets and some blue jackets. The ratio of green jackets to blue jackets picked by Tom and Megan were the same. How many blue jackets did Megan pick?

Bob completes 10 projects in 5 days. How many projects should he be able to complete in 15 days?

Mr. Francis walks 172 km and his brother Tommy walks 1/4 km more than him. What is the distance travelled by Tommy?

Jack had a party at his place. To make 45 cakes, Jack uses 40 cups of flour to 20 cups of milk. If he uses 40 cups of milk, how many cups of flour will he use?

Understanding Fraction Word problems (with Words) Lesson

Jack read four and five quarters books in a month, and John read three and three quarter books in a month. How many more books did Jack read?

Understanding with Words Worksheet

There are twenty four hours in a day and pupils say that we should work for four sixth of the day. How much time should we spend working?

Understanding Practice

During a cake eating contest, Rick ate three and a half cakes and his friend ate two and a half cakes. How many cakes did they eat altogether?

Understanding Fraction Word Problems Review

Dave read six and five fourths books in a month, and John read four and three fourths books in a month. How many more books did John read?

Understanding Quiz

There are fifty pupils in the class, one fifth of the pupils support Fred and the remainder support Jim for class president. How many pupils support Jim?

Understanding Check

To make forty five cakes, John uses forty cups of flour to twenty cups of milk. If he uses forty cups of milk, how many cups of flour will he use?

Find the Fraction Word Problems Lesson

Mark loves basketball. When shooting 20 free throws in a row, he makes 15 of them. What fraction of the shots land in the basket?

Find the Worksheet

A shopkeeper sells three red suits and five black suits. What fractions of the suits are red?

Find the Practice

A dealer purchased 5 red cars and 3 black cars. What fraction of the cars are red?

Find the Review

There are 5 antiques in the box; 2 of them are broken. What fraction of the antiques are not broken?

Find the Quiz

In the whole day Ernie has 5 shakes and one glass of juice. What fraction of the glasses are shakes?

Find the Check

I bought 5 pens. Three of them have blue ink. What fraction of the pens do not have blue ink?

Master Fraction Word Problems Lesson

On a play ground, 60 students are playing football. Out of them 3/4 are boys. Find number of girls playing football?

Master Lesson and Practice

Students will learn how to find the number which is the specified fractional part of another number. A sample problem is solved and two practice problems are provided.

Master Worksheet

Tom has a record of winning 15 hockey matches for every 22 he plays. If he had won 60 matches, then find total # of matches played?

Master Practice

My recipe calls 5 cups of water for every 3 cups of milk. How many cups of milk do I need for total 72 cups of recipe?

George divided 95 bananas among two of his friends. He gave 2/ 5 of all the bananas to one of the friends. What number of bananas did his second friend have?

Master Warm Up

A bus took 3 hours to travel 2.5 km. How much time it will take to travel 15km?

Fraction Word Problems (Difficult)

Here are some examples of more difficult fraction word problems. We will illustrate how block models (tape diagrams) can be used to help you to visualize the fraction word problems in terms of the information given and the data that needs to be found.

Related Pages Fraction Word Problems Singapore Math Lessons Fraction Problems Using Algebra Algebra Word Problems

Block modeling (also known as tape diagrams or bar models) are widely used in Singapore Math and the Common Core to help students visualize and understand math word problems.

Example: 2/9 of the people on a restaurant are adults. If there are 95 more children than adults, how many children are there in the restaurant?

Solution: Draw a diagram with 9 equal parts: 2 parts to represent the adults and 7 parts to represent the children.

5 units = 95 1 unit = 95 ÷ 5 = 19 7 units = 7 × 19 = 133

Answer: There are 133 children in the restaurant.

Example: Gary and Henry brought an equal amount of money for shopping. Gary spent $95 and Henry spent $350. After that Henry had 4/7 of what Gary had left. How much money did Gary have left after shopping?

350 – 95 = 255 3 units = 255 1 unit = 255 ÷ 3 = 85 7 units = 85 × 7 = 595

Answer: Gary has $595 after shopping.

Example: 1/9 of the shirts sold at Peter’s shop are striped. 5/8 of the remainder are printed. The rest of the shirts are plain colored shirts. If Peter’s shop has 81 plain colored shirts, how many more printed shirts than plain colored shirts does the shop have?

Solution: Draw a diagram with 9 parts. One part represents striped shirts. Out of the remaining 8 parts: 5 parts represent the printed shirts and 3 parts represent plain colored shirts.

3 units = 81 1 unit = 81 ÷ 3 = 27 Printed shirts have 2 parts more than plain shirts. 2 units = 27 × 2 = 54

Answer: Peter’s shop has 54 more printed colored shirts than plain shirts.

Solve a problem involving fractions of fractions and fractions of remaining parts

Example: 1/4 of my trail mix recipe is raisins and the rest is nuts. 3/5 of the nuts are peanuts and the rest are almonds. What fraction of my trail mix is almonds?

How to solve fraction word problem that involves addition, subtraction and multiplication using a tape diagram or block model

Example: Jenny’s mom says she has an hour before it’s bedtime. Jenny spends 3/5 of the hour texting a friend and 3/8 of the remaining time brushing her teeth and putting on her pajamas. She spends the rest of the time reading her book. How long did Jenny read?

How to solve a four step fraction word problem using tape diagrams?

Example: In an auditorium, 1/6 of the students are fifth graders, 1/3 are fourth graders, and 1/4 of the remaining students are second graders. If there are 96 students in the auditorium, how many second graders are there?

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