Important Questions Class 7 Maths Chapter 8 Working with Fractions 2026-2027

Working with Fractions teaches students how fractions behave during multiplication, division, sharing, scaling, and area-based reasoning. The chapter helps students understand products, quotients, reciprocals, and fraction operations through real-life situations.

Important Questions Class 7 Maths Chapter 8 help students practise Working with Fractions through clear, step-by-step questions. This chapter moves beyond basic fractions and explains how fractions work when students multiply, divide, simplify, compare, and solve daily-life problems.

Students practise questions based on milk sharing, walking distance, water tanks, rectangular areas, cake sharing, petrol use, and old Indian mathematical problems. These questions help students understand why multiplying by a fraction can make a value smaller, and why dividing by a fraction can make the answer larger.

Key Takeaways

Class 7 Maths Chapter 8 Important Questions on Working with Fractions

Class 7 Maths Chapter 8 important questions begin with fraction multiplication because this idea appears across the chapter. Students should understand that multiplication can mean repeated addition, scaling, or finding part of a quantity.

Important Questions Class 7 Maths Chapter 8: Very Short Answers

Q1. What is the name of Class 7 Maths Chapter 8 in the new book?
Class 7 Maths Chapter 8 is Working with Fractions. The chapter focuses on multiplication, division, reciprocals, unit-square models, and word problems involving fractions.

Q2. What is the formula for multiplying two fractions?
The formula is a/b × c/d = ac/bd. Multiply the numerators together and multiply the denominators together.

Q3. What is the product of 3 × 1/4?
3 × 1/4 = 3/4. This means three groups of one-fourth.

Q4. What is the product of 2/5 × 3?
2/5 × 3 = 6/5. In mixed fraction form, it is 1 1/5.

Q5. What is 1/2 × 1/4?
1/2 × 1/4 = 1/8. A unit square model can show this as half of one-fourth.

Q6. What is 3/4 × 2/5?
3/4 × 2/5 = 6/20 = 3/10. The answer is smaller than both fractions because both are less than 1.

Q7. What is the reciprocal of 2/3?
The reciprocal of 2/3 is 3/2. A fraction multiplied by its reciprocal gives 1.

Q8. What is the rule for dividing fractions?
To divide fractions, multiply the first fraction by the reciprocal of the second fraction. So, a/b ÷ c/d = a/b × d/c.

Q9. What is 2/3 ÷ 3/5?
2/3 ÷ 3/5 = 2/3 × 5/3 = 10/9. In mixed fraction form, it is 1 1/9.

Q10. What is 1/5 ÷ 1/2?
1/5 ÷ 1/2 = 1/5 × 2/1 = 2/5. Division by one-half means finding how many halves fit into one-fifth.

Multiplication of Fractions Class 7 Questions

Multiplication of fractions class 7 questions test whether students can multiply whole numbers, proper fractions, and mixed fractions correctly. The chapter also uses area models to explain why the rule works.

Fraction × Whole Number Questions

Q1. Tenzin drinks 1/2 glass of milk every day. How many glasses does he drink in one week?
Tenzin drinks 7/2 glasses in one week. In mixed fraction form, this is 3 1/2 glasses.

He drinks 1/2 glass every day for 7 days. So, 7 × 1/2 = 7/2.

Q2. How many glasses of milk does Tenzin drink in January?
Tenzin drinks 31/2 glasses in January. In mixed fraction form, this is 15 1/2 glasses.

January has 31 days. So, 31 × 1/2 = 31/2.

Q3. A team makes 1 km of canal in 8 days. How much canal can it make in one day?
The team can make 1/8 km in one day. This is because 1 km is divided equally across 8 days.

Q4. If the team works 5 days a week, how much canal can it make in one week?
The team can make 5/8 km in one week. Multiply the one-day work by 5.

Q5. Multiply 7 × 3/5 and write the answer as a mixed fraction.
7 × 3/5 = 21/5. In mixed fraction form, the answer is 4 1/5.

Q6. Multiply 9/7 × 6 and write the answer as a mixed fraction.
9/7 × 6 = 54/7. In mixed fraction form, the answer is 7 5/7.

Working with Fractions Class 7 Questions on Fraction × Fraction

Working with fractions class 7 questions become more interesting when both numbers are fractions. Students should understand the rule and connect it with the idea of finding “part of a part.”

Class 7 Fractions Questions and Answers on Fraction Products

Q1. Find 1/3 × 1/5.
1/3 × 1/5 = 1/15. This means one-third of one-fifth of a whole.

Q2. Find 1/4 × 1/3.
1/4 × 1/3 = 1/12. A unit square divided into 4 columns and 3 rows gives 12 equal parts.

Q3. Find 1/5 × 1/2.
1/5 × 1/2 = 1/10. This can be read as half of one-fifth.

Q4. Find 2/3 × 4/5.
2/3 × 4/5 = 8/15. Multiply 2 with 4 and 3 with 5.

Q5. Find 1/4 × 2/3.
1/4 × 2/3 = 2/12 = 1/6. Simplify the product to its lowest form.

Q6. Find 4/6 × 3/5.
4/6 × 3/5 = 12/30 = 2/5. Students can simplify either before or after multiplication.

Unit Square Fraction Multiplication Questions

Unit square fraction multiplication helps students see fractions as parts of area. This method is useful when students want to understand the rule instead of only memorising it.

Questions Based on Area Models

Q1. How can a unit square show 1/2 × 1/4?
Take one square as the whole. Shade one-half in one direction and one-fourth in another direction.

The overlapping part is 1 out of 8 equal parts. So, 1/2 × 1/4 = 1/8.

Q2. How does a unit square explain 3/4 × 2/5?
Divide the square into 4 parts in one direction and 5 parts in the other direction. This creates 20 equal parts.

The overlap has 3 × 2 = 6 parts. So, 3/4 × 2/5 = 6/20 = 3/10.

Q3. What is the area of a rectangle with sides 1/2 unit and 1/4 unit?
The area is 1/8 square unit. Area of a rectangle equals length × breadth.

Q4. What is the area of a rectangle with sides 3/5 unit and 1/2 unit?
The area is 3/10 square unit. Multiply the two side lengths: 3/5 × 1/2 = 3/10.

Q5. Why is the unit square method useful?
The unit square method shows why numerators and denominators are multiplied. It also helps students see why the product of two fractions less than 1 becomes smaller.

Simplifying Fraction Multiplication Class 7 Questions

Simplifying before multiplication saves time and reduces large-number mistakes. Students should cancel common factors between any numerator and any denominator.

Questions on Cancelling Common Factors

Q1. Multiply 12/7 × 5/24 in lowest form.
12/7 × 5/24 = 5/14.

Cancel 12 and 24 by 12 before multiplying. This gives 1/7 × 5/2 = 5/14.

Q2. Multiply 14/15 × 25/42 in lowest form.
14/15 × 25/42 = 5/9.

Cancel 14 and 42 by 14. Cancel 25 and 15 by 5. The result becomes 1 × 5 over 3 × 3.

Q3. Why should students simplify before multiplying?
Students should simplify before multiplying because it keeps numbers smaller. It also reduces calculation errors in exam answers.

Q4. Can we cancel only numerator with denominator?
Yes, cancellation works between a numerator and a denominator. Do not cancel two numerators with each other or two denominators with each other.

Q5. What is the lowest form of 12/30?
The lowest form of 12/30 is 2/5. Divide both numerator and denominator by 6.

Reciprocal of Fractions Class 7 Questions

Reciprocal of fractions class 7 questions prepare students for fraction division. A reciprocal is formed by interchanging the numerator and denominator.

Q1. What is the reciprocal of 5?
The reciprocal of 5 is 1/5. We can write 5 as 5/1, and its reciprocal is 1/5.

Q2. What is the reciprocal of 7/9?
The reciprocal of 7/9 is 9/7. Flip the numerator and denominator.

Q3. What is the reciprocal of 1/4?
The reciprocal of 1/4 is 4. This is because 1/4 × 4 = 1.

Q4. What is the reciprocal of 3/11?
The reciprocal of 3/11 is 11/3. A fraction and its reciprocal multiply to give 1.

Q5. Does zero have a reciprocal?
Zero has no reciprocal because division by zero is not defined.

Division of Fractions Class 7 Important Questions

Division of fractions class 7 questions become easier when students understand reciprocals. The main idea is simple: divide by a fraction means multiply by its reciprocal.

Questions on Fraction Division

Q1. Evaluate 3 ÷ 7/9.
3 ÷ 7/9 = 3 × 9/7 = 27/7. In mixed fraction form, it is 3 6/7.

Q2. Evaluate 1/4 ÷ 2.
1/4 ÷ 2 = 1/8. Dividing by 2 means splitting one-fourth into two equal parts.

Q3. Evaluate 2/3 ÷ 2/3.
2/3 ÷ 2/3 = 1. Any non-zero number divided by itself gives 1.

Q4. Evaluate 4/3 ÷ 3/4.
4/3 ÷ 3/4 = 4/3 × 4/3 = 16/9. In mixed fraction form, it is 1 7/9.

Q5. Evaluate 7/4 ÷ 1/7.
7/4 ÷ 1/7 = 7/4 × 7/1 = 49/4. In mixed fraction form, it is 12 1/4.

How to Choose Multiplication or Division in Working with Fractions

Students often know the rule but choose the wrong operation in word problems. The question language usually gives the clue.

Use multiplication when the question asks for a part of a quantity, repeated equal amounts, area, or a fixed rate for a given time.

Use division when the question asks for equal sharing, number of groups, one share, or how many small parts fit into a larger quantity.

For example, “1/2 glass each day for 7 days” needs multiplication. But “8 m lace cut into 1/4 m pieces” needs division.

Fraction Multiplication Word Problems Class 7

Fraction multiplication word problems class 7 questions show how fractions work in real situations. Students should look for words like “of”, “each”, “per hour”, and “for many days”.

Word Problems with Answers

Q1. Manju and two neighbours buy 5 litres of oil every week and share it equally. How much oil does each family get in one week?
Each family gets 5/3 litres of oil in one week. In mixed fraction form, this is 1 2/3 litres.

There are 3 families sharing 5 litres. So, each family gets 5 ÷ 3 = 5/3 litres.

Q2. How much oil will one family get in 4 weeks?
One family gets 20/3 litres in 4 weeks. In mixed fraction form, this is 6 2/3 litres.

Each family gets 5/3 litres per week. So, 4 × 5/3 = 20/3.

Q3. Safia saw the Moon setting on Monday at 10 pm. It sets 5/6 hour later each day. How much later will it set on Thursday?
The Moon will set 2 1/2 hours later on Thursday. Thursday is 3 days after Monday.

So, 3 × 5/6 = 15/6 = 2 1/2 hours. It will set at 12:30 am.

Q4. A tap fills 7/10 of a tank in 1 hour. How much tank gets filled in 1/3 hour?
The tap fills 7/30 of the tank in 1/3 hour. Multiply 7/10 by 1/3.

Q5. The same tap fills 7/10 of a tank in 1 hour. How long will it take to fill the tank completely?
It will take 10/7 hours to fill the tank completely. In mixed fraction form, this is 1 3/7 hours.

The tap fills 7/10 tank in 1 hour. To fill 1 full tank, calculate 1 ÷ 7/10 = 10/7.

Q6. A car runs 16 km using 1 litre of petrol. How far will it go using 2 3/4 litres?
The car will go 44 km. Convert 2 3/4 into 11/4 and multiply by 16.

16 × 11/4 = 4 × 11 = 44.

Fraction Division Word Problems Class 7

Fraction division word problems class 7 questions ask students to decide how many equal groups are possible or how much each group gets. These questions test both understanding and calculation.

Word Problems with Step-by-Step Answers

Q1. Maria bought 8 m of lace. She used 1/4 m for each bag. How many bags did she decorate?
Maria decorated 32 bags. The correct expression is 8 ÷ 1/4.

8 ÷ 1/4 = 8 × 4 = 32.

Q2. 1/2 metre of ribbon is used to make 8 badges. What length of ribbon is used for each badge?
Each badge uses 1/16 metre of ribbon. The correct expression is 1/2 ÷ 8.

1/2 ÷ 8 = 1/2 × 1/8 = 1/16.

Q3. A baker needs 1/6 kg flour for one loaf. He has 5 kg flour. How many loaves can he make?
The baker can make 30 loaves. The correct expression is 5 ÷ 1/6.

5 ÷ 1/6 = 5 × 6 = 30.

Q4. If 1/4 kg flour makes 12 rotis, how much flour makes 6 rotis?
6 rotis need 1/8 kg flour. Since 6 is half of 12, the flour required is half of 1/4 kg.

1/4 ÷ 2 = 1/8.

Q5. Leena used 1/4 litre milk to make 5 cups of tea. How much milk is in each cup?
Each cup has 1/20 litre of milk. Divide the total milk equally among 5 cups.

1/4 ÷ 5 = 1/4 × 1/5 = 1/20.

Class 7 Maths Chapter 8 Extra Questions

Class 7 maths chapter 8 extra questions help students practise beyond direct exercise questions. These mixed questions improve accuracy in multiplication, division, comparison, and reasoning.

Extra Practice Questions with Answers

Q1. Find the area of a rectangle with sides 3 3/4 ft and 9 3/5 ft.
The area is 36 square ft. Convert both mixed fractions first.

3 3/4 = 15/4 and 9 3/5 = 48/5.
15/4 × 48/5 = 36.

Q2. Tsewang plants four saplings in a row. The distance between two saplings is 3/4 m. Find the distance between the first and last sapling.
The distance is 2 1/4 m. Four saplings create three gaps.

So, distance = 3 × 3/4 = 9/4 = 2 1/4 m.

Q3. Which is heavier: 12/15 of 500 g or 3/20 of 4 kg?
3/20 of 4 kg is heavier. Convert both quantities before comparing.

12/15 of 500 g = 400 g.
3/20 of 4 kg = 3/20 × 4000 g = 600 g.

Q4. Mira read 1/5 of a 400-page book yesterday and 3/10 today. How many pages remain?
Mira has 200 pages left. She read 1/5 + 3/10 = 2/10 + 3/10 = 5/10 = 1/2 of the book.

Half of 400 pages is 200 pages. So, 200 pages remain.

Q5. Amritpal’s train journey takes 5 1/6 hours. His flight takes 1/2 hour. How many hours does the plane save?
The plane saves 4 2/3 hours. Subtract the flight time from the train time.

5 1/6 - 1/2 = 31/6 - 3/6 = 28/6 = 4 2/3.

Q6. Mariam and her cousins finished 4/5 of a cake. The remaining cake was shared equally by 3 friends. What part did each friend get?
Each friend got 1/15 of the whole cake. The remaining cake is 1/5.

1/5 ÷ 3 = 1/5 × 1/3 = 1/15.

Fractions Class 7 MCQ for Quick Revision

Fractions class 7 MCQ questions help students revise rules quickly. They are useful for checking whether students can choose the correct operation.

MCQs with Answers

Q1. What is 1/5 × 1/4?
(a) 1/9
(b) 1/20
(c) 2/9
(d) 5/4

Answer: (b) 1/20.
Multiply the numerators and denominators.

Q2. What is the reciprocal of 3/7?
(a) 3/7
(b) 7/3
(c) 10/7
(d) 7/10

Answer: (b) 7/3.
The reciprocal is found by flipping the fraction.

Q3. Which expression gives the number of bags if 8 m lace is used at 1/4 m per bag?
(a) 8 × 1/4
(b) 1/8 × 1/4
(c) 8 ÷ 1/4
(d) 1/4 ÷ 8

Answer: (c) 8 ÷ 1/4.
We divide total lace by lace used per bag.

Q4. If a divisor is between 0 and 1, what happens to the quotient?
(a) It becomes 0
(b) It becomes smaller than the dividend
(c) It becomes greater than the dividend
(d) It always equals 1

Answer: (c) It becomes greater than the dividend.
For example, 6 ÷ 1/4 = 24.

Q5. Which product is smaller than both factors?
(a) 3 × 5
(b) 3/4 × 2/5
(c) 4 × 1/2
(d) 5 × 3/2

Answer: (b) 3/4 × 2/5.
When both factors lie between 0 and 1, the product is smaller than both.

Most Important Exam Questions from Working with Fractions

These Ganita Prakash class 7 chapter 8 questions cover the most important ideas from the chapter. Students should practise them after revising the rules.

High-Value Questions with Explained Answers

Q1. Why is the product of 3/4 and 2/5 less than both fractions?
The product is less than both fractions because both numbers are between 0 and 1. Multiplying by a fraction less than 1 gives a part of the other number.

3/4 × 2/5 = 6/20 = 3/10.
3/10 is less than 3/4 and also less than 2/5.

Q2. Why can division by 1/4 make the answer larger?
Division by 1/4 asks how many one-fourths fit into the number. Since one-fourth is a small part, many such parts fit into a whole number.

For example, 6 ÷ 1/4 = 24.
The quotient is greater than the dividend.

Q3. What is the difference between multiplying by 4 and dividing by 1/4?
Multiplying by 4 and dividing by 1/4 give the same result. This is because the reciprocal of 1/4 is 4.

For example, 8 ÷ 1/4 = 8 × 4 = 32.

Q4. Explain the rule for multiplying fractions using an example.
To multiply fractions, multiply the numerators and multiply the denominators. Then simplify the answer if possible.

For example, 2/3 × 4/5 = 8/15.
Here, 2 × 4 = 8 and 3 × 5 = 15.

Q5. Explain the rule for dividing fractions using an example.
To divide fractions, multiply the first fraction by the reciprocal of the second fraction. The reciprocal is formed by flipping numerator and denominator.

For example, 2/3 ÷ 3/5 = 2/3 × 5/3 = 10/9.

Class 7 Maths Chapter 8 Worksheet Questions

This class 7 maths chapter 8 worksheet gives students quick practice after reading the solved questions. Try solving these without looking at the answers first.

Practice Set

Q1. Multiply 5 × 2/7.
Answer: 10/7.

Q2. Multiply 4/9 × 3/8.
Answer: 1/6.

Q3. Multiply 7/12 × 6/5.
Answer: 7/10.

Q4. Find the reciprocal of 11/13.
Answer: 13/11.

Q5. Divide 5/6 ÷ 10/9.
Answer: 3/4.

Q6. Divide 9 ÷ 3/4.
Answer: 12.

Q7. A ribbon of length 3/5 m is cut equally into 6 pieces. Find the length of each piece.
Answer: 1/10 m.

Q8. A tank fills 2/3 part in one hour. How much fills in 3/4 hour?
Answer: 1/2 of the tank.

Q9. A rectangle has length 5/6 m and breadth 3/4 m. Find its area.
Answer: 5/8 square m.

Q10. A cake has 2/5 part left. It is shared equally among 4 children. What part does each child get?
Answer: 1/10 of the cake.

CBSE Class 7 Maths Important Links