CBSE Class 6 Maths Chapter 7: Fractions — Assertion & Reason
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The following Assertion and Reason questions are based on Chapter 7: Fractions from the NCERT Class 6 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): A unit fraction has numerator 1.
Reason (R): It represents one of the equal parts into which a whole is divided.
Reason (R): It represents one of the equal parts into which a whole is divided.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. One selected equal part gives numerator 1.
2
Assertion (A): A unit fraction has numerator 1.
Reason (R): The fraction 3/4 has denominator 4.
Reason (R): The fraction 3/4 has denominator 4.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
3
Assertion (A): A unit fraction has numerator 1.
Reason (R): Every unit fraction has denominator 1.
Reason (R): Every unit fraction has denominator 1.
Answer: (c)
A is true, but R is false. The denominator can be any positive whole number.
4
Assertion (A): The fraction 2/5 is a unit fraction.
Reason (R): It represents one of the equal parts into which a whole is divided.
Reason (R): It represents one of the equal parts into which a whole is divided.
Answer: (d)
A is false, but R is true. Its numerator is 2.
5
Assertion (A): Equivalent fractions represent the same 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 common factor cancels in the ratio.
6
Assertion (A): Equivalent fractions represent the same quantity.
Reason (R): The fraction 1/2 lies between 0 and 1.
Reason (R): The fraction 1/2 lies between 0 and 1.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
7
Assertion (A): Equivalent fractions represent the same quantity.
Reason (R): Equivalent fractions must have identical numerators.
Reason (R): Equivalent fractions must have identical numerators.
Answer: (c)
A is true, but R is false. Their written numerators may differ.
8
Assertion (A): The fractions 1/2 and 2/3 are equivalent.
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: (d)
A is false, but R is true. One-half and two-thirds are unequal.
9
Assertion (A): To compare fractions with the same denominator, compare their numerators.
Reason (R): Equal-sized fractional units mean more selected parts give a larger value.
Reason (R): Equal-sized fractional units mean more selected parts give a larger value.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Common unit size makes the numerator decisive.
10
Assertion (A): To compare fractions with the same denominator, compare their numerators.
Reason (R): A mixed fraction has a whole-number part.
Reason (R): A mixed fraction has a whole-number part.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
11
Assertion (A): To compare fractions with the same denominator, compare their numerators.
Reason (R): The smaller numerator always gives the larger fraction.
Reason (R): The smaller numerator always gives the larger fraction.
Answer: (c)
A is true, but R is false. The comparison direction is reversed.
12
Assertion (A): With denominator 7, 3/7 is greater than 5/7.
Reason (R): Equal-sized fractional units mean more selected parts give a larger value.
Reason (R): Equal-sized fractional units mean more selected parts give a larger value.
Answer: (d)
A is false, but R is true. Five sevenths is greater.
13
Assertion (A): Like fractions can be added by adding numerators and retaining the denominator.
Reason (R): Their fractional units have the same size.
Reason (R): Their fractional units have the same size.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Same-sized units combine directly.
14
Assertion (A): Like fractions can be added by adding numerators and retaining the denominator.
Reason (R): A proper fraction is less than 1.
Reason (R): A proper fraction is less than 1.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
15
Assertion (A): Like fractions can be added by adding numerators and retaining the denominator.
Reason (R): The denominators should also be added.
Reason (R): The denominators should also be added.
Answer: (c)
A is true, but R is false. Adding denominators changes the unit size incorrectly.
16
Assertion (A): The sum 2/9 + 3/9 is 5/18.
Reason (R): Their fractional units have the same size.
Reason (R): Their fractional units have the same size.
Answer: (d)
A is false, but R is true. The sum is 5/9.
17
Assertion (A): A mixed number combines a whole number and a proper fraction.
Reason (R): It can be converted to an improper fraction by counting all fractional units.
Reason (R): It can be converted to an improper fraction by counting all fractional units.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Counting thirds gives 7/3 in the example form.
18
Assertion (A): A mixed number combines a whole number and a proper fraction.
Reason (R): Fractions can be marked on a number line.
Reason (R): Fractions can be marked on a number line.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
19
Assertion (A): A mixed number combines a whole number and a proper fraction.
Reason (R): Every mixed number is less than 1.
Reason (R): Every mixed number is less than 1.
Answer: (c)
A is true, but R is false. A positive whole part makes it exceed 1.
20
Assertion (A): The mixed number 2 1/3 equals 3/3.
Reason (R): It can be converted to an improper fraction by counting all fractional units.
Reason (R): It can be converted to an improper fraction by counting all fractional units.
Answer: (d)
A is false, but R is true. Two and one-third equals 7/3.
❓ Frequently Asked Questions
What is covered in CBSE Class 6 Maths Chapter 7 Fractions?
This chapter covers all key topics from Fractions as per CBSE 2026-27 syllabus.
Is this Assertion & Reason useful for CBSE board exams?
Yes, designed for CBSE Class 6 board exam preparation covering the complete syllabus.
Are these CBSE Class 6 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 6 Maths?
All chapters of CBSE Class 6 Maths are covered at eBookPublisher with free Assertion & Reason for each chapter.
Can I study Fractions online for free?
Yes, complete Assertion & Reason for Fractions is available free at eBookPublisher. Study online directly — no download needed.
Where can I get a complete Assertion & Reason book for CBSE Class 6 Maths?
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