Question

Find the equivalent fraction of $\frac{6}{11}$ having
(i) denominator 77
(ii) numerator 60

Answer 1

(i) Let $\frac{6}{11}=\frac{\boxed{}}{77}$
Clearly, 77 = 11 $\times$ 7
So, we multiply the numerator by 7.

∴ ​$\frac{6}{11}=\frac{6\times 7}{11\times 7}=\frac{42}{77}$
Hence, the required fraction is $\frac{42}{77}$.
(ii) ​Let $\frac{6}{11}=\frac{60}{\boxed{}}$
Clearly, 60 = 6 $\times$ 10
So, we multiply the denominator by 10.

∴ ​$\frac{6}{11}=\frac{6\times 10}{11\times 10}=\frac{60}{110}$
Hence, the required fraction is $\frac{60}{110}$.