Question

Find the equivalent fraction of $\frac{5}{9}$ having
(i) denominator 54
(ii) numerator 35

Answer 1

(i) Let $\frac{5}{9}=\frac{\boxed{}}{54}$
Clearly, 54 = 9 $\times$ 6
So, we multiply the numerator by 6.
∴ ​$\frac{5}{9}=\frac{5\times 6}{9\times 6}=\frac{30}{54}$
Hence, the required fraction is $\frac{30}{54}$.
(ii) ​Let $\frac{5}{9}=\frac{35}{\boxed{}}$
Clearly, 35 = 5 $\times$ 7
So, we multiply the denominator by 7.
∴ ​$\frac{5}{9}=\frac{5\times 7}{9\times 7}=\frac{35}{63}$
Hence, the required fraction is $\frac{35}{63}$.