Question

Find the equivalent fraction of $\frac{3}{5}$ having
(i) denominator 30
(ii) numerator 24

Answer 1

(i) Let $\frac{3}{5}=\frac{\boxed{}}{30}$
Clearly, 30 = 5 $\times$ 6
So, we multiply the numerator by 6.

∴ ​$\frac{3}{5}=\frac{3\times 6}{5\times 6}=\frac{18}{30}$
Hence, the required fraction is $\frac{18}{30}$.
(ii) ​Let $\frac{3}{5}=\frac{24}{\boxed{}}$
Clearly, 24 = 3 $\times$ 8
So, we multiply the denominator by 8.

∴ ​$\frac{3}{5}=\frac{3\times 8}{5\times 8}=\frac{24}{40}$
Hence, the required fraction is $\frac{24}{40}$.