Question

Find the equivalent fraction of 3/5 having

(a) denominator 20

(b) numerator 9

(c) denominator 30

(d) numerator 27

Answer 1

(a) 3/5 = ..../20

3 × 20 = 5 × ....

3 × 2 × 2 × 5 = 5 × ...

12 = ...

Hence, the required fraction is 12/20

(b) 3/5 = 9/...

3 × ... = 5 × 9

3 × ... = 5 × 3 × 3

.... = 15

Hence, the required fraction is 9/15

(c) 3/5 = .../30

3 × 30 = 5 × .....

3 × 2 × 3 × 5 = – 5 × ...

18 = ......

Hence, the required fraction is 18/30

(d) 3/5 = 27/.....

3 × ... = 5 × 27

3 × .... = 5 × 3 × 3 × 3

Hence, the required fraction is 27/45