CBSE Class 7 Maths Chapter 8: Working with Fractions — Assertion & Reason
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The following Assertion and Reason questions are based on Chapter 8: Working with Fractions from the NCERT Class 7 Mathematics textbook. Each question has four options - read both the Assertion (A) and Reason (R) carefully before selecting your answer.
How to attempt Assertion & Reason questions:
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is NOT the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is NOT the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Assertion & Reason Questions
1
Assertion (A): Multiplying a fraction by a whole number repeats the fraction that many times.
Reason (R): For example, 3 x 1/4 equals 1/4 + 1/4 + 1/4.
Reason (R): For example, 3 x 1/4 equals 1/4 + 1/4 + 1/4.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The repeated sum is 3/4.
2
Assertion (A): The product 2 x 3/5 is 6/5.
Reason (R): The product 1/2 x 1/3 is 1/6.
Reason (R): The product 1/2 x 1/3 is 1/6.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the second does not explain the first.
3
Assertion (A): The product 3/4 x 2/5 equals 3/10.
Reason (R): It equals 6/9.
Reason (R): It equals 6/9.
Answer: (c)
A is true, but R is false. Multiplying gives 6/20, which simplifies to 3/10.
4
Assertion (A): Multiplying by a proper positive fraction greater than 0 always increases a positive number.
Reason (R): A proper fraction is less than 1, so the product becomes smaller.
Reason (R): A proper fraction is less than 1, so the product becomes smaller.
Answer: (d)
A is false, but R is true. The assertion reverses the scaling.
5
Assertion (A): The product of two fractions can be simplified by cancelling common factors.
Reason (R): Cancellation divides numerator and denominator by equal nonzero factors.
Reason (R): Cancellation divides numerator and denominator by equal nonzero factors.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The value remains unchanged while computation becomes easier.
6
Assertion (A): The product 5/6 x 9/10 simplifies to 3/4.
Reason (R): The reciprocal of 5/6 is 6/5.
Reason (R): The reciprocal of 5/6 is 6/5.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the reciprocal fact does not explain this multiplication.
7
Assertion (A): The product of 2/3 and 3/2 is 1.
Reason (R): Reciprocal fractions have product 2.
Reason (R): Reciprocal fractions have product 2.
Answer: (c)
A is true, but R is false. Nonzero reciprocals multiply to one.
8
Assertion (A): Zero has a reciprocal equal to zero.
Reason (R): No number multiplied by zero gives 1.
Reason (R): No number multiplied by zero gives 1.
Answer: (d)
A is false, but R is true. Zero has no reciprocal.
9
Assertion (A): Dividing by a nonzero fraction is equivalent to multiplying by its reciprocal.
Reason (R): This operation asks how many divisor-sized parts fit in the dividend.
Reason (R): This operation asks how many divisor-sized parts fit in the dividend.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The reciprocal rule gives the quotient.
10
Assertion (A): The quotient 3/4 divided by 1/2 is 3/2.
Reason (R): The quotient 2/3 divided by 4 is 1/6.
Reason (R): The quotient 2/3 divided by 4 is 1/6.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the second does not explain the first.
11
Assertion (A): The quotient 5/6 divided by 2/3 equals 5/4.
Reason (R): It is found by multiplying 5/6 by 2/3.
Reason (R): It is found by multiplying 5/6 by 2/3.
Answer: (c)
A is true, but R is false. Division uses the reciprocal 3/2.
12
Assertion (A): Dividing a positive fraction by a number greater than 1 makes it larger.
Reason (R): Dividing by 2 halves the fraction.
Reason (R): Dividing by 2 halves the fraction.
Answer: (d)
A is false, but R is true. The quotient becomes smaller.
13
Assertion (A): A fraction of a quantity is found by multiplication.
Reason (R): Three-fourths of 20 equals 3/4 x 20 = 15.
Reason (R): Three-fourths of 20 equals 3/4 x 20 = 15.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The multiplication computes the requested part.
14
Assertion (A): One-half of three-fourths equals three-eighths.
Reason (R): The reciprocal of 5/6 is 6/5.
Reason (R): The reciprocal of 5/6 is 6/5.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the reciprocal fact does not explain this product.
15
Assertion (A): If 2/5 of a number is 14, the number is 35.
Reason (R): The number is 28.
Reason (R): The number is 28.
Answer: (c)
A is true, but R is false. Fourteen divided by 2/5 equals 35.
16
Assertion (A): The quotient 1/2 divided by 3 is 3/2.
Reason (R): Dividing by 3 is multiplying by 1/3.
Reason (R): Dividing by 3 is multiplying by 1/3.
Answer: (d)
A is false, but R is true. The quotient is 1/6.
17
Assertion (A): Equivalent fractions represent the same rational quantity.
Reason (R): Multiplying numerator and denominator by the same nonzero number preserves value.
Reason (R): Multiplying numerator and denominator by the same nonzero number preserves value.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The scale factor cancels.
18
Assertion (A): The fractions 6/8 and 3/4 are equivalent.
Reason (R): The fraction 5/10 simplifies to 1/2.
Reason (R): The fraction 5/10 simplifies to 1/2.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both are true, but the second simplification does not explain the first.
19
Assertion (A): The product of two positive proper fractions is smaller than each factor.
Reason (R): It is greater than both factors.
Reason (R): It is greater than both factors.
Answer: (c)
A is true, but R is false. Multiplication by a value below one reduces a positive number.
20
Assertion (A): Division by a fraction always gives a smaller result.
Reason (R): Dividing by a positive fraction less than 1 can increase the result.
Reason (R): Dividing by a positive fraction less than 1 can increase the result.
Answer: (d)
A is false, but R is true. For example, 1 divided by 1/2 equals 2.
❓ Frequently Asked Questions
What is covered in CBSE Class 7 Maths Chapter 8 Working with Fractions?
This chapter covers all key topics from Working with Fractions as per CBSE 2026-27 syllabus.
Is this Assertion & Reason useful for CBSE board exams?
Yes, designed for CBSE Class 7 board exam preparation covering the complete syllabus.
Are these CBSE Class 7 Maths Assertion & Reason updated for 2026-27?
Yes, all content at eBookPublisher is updated as per the latest 2026-27 CBSE syllabus.
How many chapters are in CBSE Class 7 Maths?
All chapters of CBSE Class 7 Maths are covered at eBookPublisher with free Assertion & Reason for each chapter.
Can I study Working with Fractions online for free?
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