# Find: i) 2/5 ÷ 1/2 ii) 4/9 ÷ 2/3 iii) 3/7 ÷ 8/7

iv) \(2{\Large\frac{1}{3}}\) ÷ 3/5 v) \(3{\Large\frac{1}{2}}\) ÷ 8/3 vi) 2/5 ÷ \(1{\Large\frac{1}{2}}\)

vii) \(3{\Large\frac{1}{5}}\) ÷ \(1{\Large\frac{2}{3}}\) viii) \(2{\Large\frac{1}{5}}\) ÷ \(1{\Large\frac{1}{5}}\)

**Solution:**

To divide a fraction, we will reciprocate 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.

(i) 2/5 ÷ 1/2 = 2/5 × 2/1

= 4/5

(ii) 4/9 ÷ 2/3 = 4/9 × 3/2

= 12/18

= 2/3

(iii) 3/7 ÷ 8/7 = 3/7 × 7/8

= 21/56

= 3/8

(iv) \(2{\Large\frac{1}{3}}\) ÷ 3/5 = \(2{\Large\frac{1}{3}}\) × 5/3

= 7/3 × 5/3

= 35/9 (improper fraction)

Converting 35/9 into mixed fraction, we get

35/9 = \(3{\Large\frac{8}{9}}\)

(v) \(3{\Large\frac{1}{2}}\) ÷ 8/3 = 7/2 × 3/8

= 21/16 (improper fraction)

Converting 21/16 into mixed fraction, we get

21/16 = \(1{\Large\frac{5}{16}}\)

(vi) 2/5 ÷ \(1{\Large\frac{1}{2}}\) = 2/5 × 2/3

= 4/15

(vii) \(3{\Large\frac{1}{5}}\) ÷ \(1{\Large\frac{2}{3}}\) = 16/5 ÷ 5/3

= 16/5 × 3/5

= 48/25 (improper fraction)

Converting 48/25 into mixed fraction, we get

48/25 = \(1{\Large\frac{23}{25}}\)

(viii ) \(2{\Large\frac{1}{5}}\) ÷ \(1{\Large\frac{1}{5}}\) = 11/5 ÷ 6/5

= 11/5 × 5/6

= 11/6 (improper fraction)

Converting 11/6 into mixed fraction, we get

11/6 = \(1{\Large\frac{5}{6}}\)

**☛ Check: **NCERT Solutions for Class 7 Maths Chapter 2

**Video Solution:**

## Find: i) 2/5 ÷ 1/2 ii) 4/9 ÷ 2/3 iii) 3/7 ÷ 8/7 iv) \(2{\Large\frac{1}{3}}\) ÷ 3/5 v) \(3{\Large\frac{1}{2}}\) ÷ 8/3 vi) 2/5 ÷ \(1{\Large\frac{1}{2}}\) vii) \(3{\Large\frac{1}{5}}\) ÷ \(1{\Large\frac{2}{3}}\) viii) \(2{\Large\frac{1}{5}}\) ÷ \(1{\Large\frac{1}{5}}\)

NCERT Solutions Class 7 Maths Chapter 2 Exercise 2.4 Question 4

**Summary:**

On dividing the following values i) 2/5 ÷ 1/2 ii) 4/9 ÷ 2/3 iii) 3/7 ÷ 8/7 iv) \(2{\Large\frac{1}{3}}\) ÷ 3/5 v) \(3{\Large\frac{1}{2}}\) ÷ 8/3 vi) 2/5 ÷ \(1{\Large\frac{1}{2}}\) vii) \(3{\Large\frac{1}{5}}\) ÷ \(1{\Large\frac{2}{3}}\) viii) \(2{\Large\frac{1}{5}}\) ÷ \(1{\Large\frac{1}{5}}\) we get, i) 4/5, ii) 2/3, iii) 3/8, iv) 35/9 = \(3{\Large\frac{8}{9}}\), v) 21/16 = \(1{\Large\frac{5}{16}}\), vi) 4/15, vii) 48/25 = \(1{\Large\frac{23}{25}}\), viii) 11/16 = \(1{\Large\frac{5}{6}}\)

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