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Find the reciprocal of each of the following fractions. Classify the reciprocals as proper fractions, improper fractions, and whole numbers.
i) 3/7 ii) 5/8 iii) 9/7 iv) 6/5 v) 12/7 vi) 1/8 vii) 1/11

Solution:

(1)Proper fraction - when the numerator is less than the denominator.

(2)Improper fraction - when the numerator is greater than the denominator.

(3)Whole number - It is a collection of positive integers including 0.

i) 3/7

Reciprocal of 3/7 is 7/3 (improper fraction)

ii) 5/8

Reciprocal of 5/8 is 8/5 (improper fraction)

iii) 9/7

Reciprocal of 9/7 is 7/9 (proper fraction)

iv) 6/5

Reciprocal of 6/5 is 5/6 (proper fraction)

v) 12/7

Reciprocal of 12/7 is 7/12 (proper fraction)

vi) 1/8

Reciprocal of 1/8 is 8 (whole number)

vii) 1/11

Reciprocal of 1/11 is 11 (whole number)

☛ Check: NCERT Solutions for Class 7 Maths Chapter 2

Video Solution:

Find the reciprocal of each of the following fractions. Classify the reciprocals as proper fractions, improper fractions, and whole numbers. i) 3/7 ii) 5/8 iii) 9/7 iv) 6/5 v) 12/7 vi) 1/8 vii) 1/11

NCERT Solutions Class 7 Maths Chapter 2 Exercise 2.4 Question 2

Summary:

i) Reciprocal of 3/7 is 7/3, ii) Reciprocal of 5/8 is 8/5, iii) Reciprocal of 9/7 is 7/9, iv) Reciprocal of 6/5 is 5/6, v) Reciprocal of 12/7 is 7/12, vi) Reciprocal of 1/8 is 8, vii) Reciprocal of 1/11 is 11. The fraction whose reciprocals are proper fractions are iii) 9/7 iv) 6/5 v) 12/7, fractions whose reciprocals are improper fractions are i) 3/7 ii) 5/8 and fractions whose reciprocals are whole numbers are vi) 1/8 vii) 1/11.

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