Question

Mark the correct alternative in each of the following:

The reciprocal of the fraction $2\frac{3}{5}$ is

(a) $2\frac{5}{3}$ (b) $\frac{13}{5}$ (c) $\frac{5}{13}$ (d) $2\frac{2}{5}$

Answer 1

The reciprocal of a non-zero fraction $\frac{a}{b}$ is the fraction $\frac{b}{a}$.

$2\frac{3}{5}=\frac{2\times 5+3}{5}=\frac{13}{5}$

Now,

Reciprocal of the fraction $\frac{13}{5}$ = $\frac{5}{13}$

∴ Reciprocal of the fraction $2\frac{3}{5}$ = $\frac{5}{13}$

Hence, the correct answer is option (c).