Find: i) 12 ÷ 3/4   ii) 14 ÷ 5/6   iii) 8 ÷ 7/3
iv) 4 ÷ 8/3   v) 3 ÷ \(2{\Large\frac{1}{3}}\)   vi) 5 ÷ \(3{\Large\frac{4}{7}}\)

To divide a fraction, we will find the reciprocal of the second fraction and then multiply the fraction with the reciprocal. If one number is a whole number then we will convert it into a fraction by using 1 as the denominator.

Solution:

(i)12 ÷3/4

= 12/1 × 4/3

= (12 × 4)/3

= 48/3

= 16

(ii) 14 ÷ 5/6

= 14/1 × 6/5

= (14 × 6)/5

= 84/5 (improper fraction)

Converting into mixed fraction, we get:

84/5 = \(16{\Large\frac{4}{5}}\)

(iii) 8 ÷ 7/3

= 8/1 × (3/7)

= (8 × 3)/7

= 24/7 (improper fraction)

Converting into mixed fraction, we get

24/7 = \(3{\Large\frac{3}{7}}\)

(iv) 4 ÷ 8/3

= 4/1 × 3/8

= (4 × 3)/8

= 12/8 (By reducing to its lowest term)

= 3/2 (improper fraction)

Converting into mixed fraction, we get

3/2 = \(1{\Large\frac{1}{2}}\)

(v) 3 ÷ \(2{\Large\frac{1}{3}}\)

= 3 ÷ 7/3 

= 3/1 × 3/7

= (3 × 3)/7

= 9/7 ( improper fraction )

Converting into mixed fraction, we get

9/7 = \(1{\Large\frac{2}{7}}\)

(vi) 5 ÷  \(3{\Large\frac{4}{7}}\)

= 5 ÷ 25/7

= 5/1 × 7/25 (By simplifying the fraction)

= (5 × 7)/25

= 7/5 (improper fraction)

Converting into mixed fraction, we get

7/5 = \(1{\Large\frac{2}{5}}\)

☛ Check: NCERT Solutions for Class 7 Maths Chapter 2

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Video Solution:

Find: (i) 12 ÷ 3/4 (ii) 14 ÷ 5/6 (iii) 8 ÷ 7/3 (iv) 4 ÷ 8/3 (v)  3 ÷ \(2{\Large\frac{1}{3}}\) (vi) 5 ÷ \(3{\Large\frac{4}{7}}\)

NCERT Solutions Class 7 Maths Chapter 2 Exercise 2.4 Question 1

Summary:

The value of: (i) 12 ÷ 3/4 (ii) 14 ÷ 5/6 (iii) 8 ÷ 7/3 (iv) 4 ÷ 8/3 (v)  3 ÷ \(2{\Large\frac{1}{3}}\) (vi) 5 ÷ \(3{\Large\frac{4}{7}}\) are i)16, ii) \(16{\Large\frac{4}{5}}\), iii) \(3{\Large\frac{3}{7}}\), iv) \(1{\Large\frac{1}{2}}\), v) \(1{\Large\frac{2}{7}}\) and vi) \(1{\Large\frac{2}{5}}\)

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