Question

If $\frac{5}{12}$ is equivalent of $\frac{x}{3}$, then x =

(a) $\frac{5}{4}$
(b) $\frac{4}{5}$
(c) $\frac{5}{3}$
(d) $\frac{3}{5}$

Answer 1

(a) $\frac{5}{4}$
$\frac{5}{12}=\frac{x}{3}$
On cross-multiplying, we get:
$5\times 3=12\times x$
$x=\frac{5\times 3}{12}=\frac{5\times 3}{4\times 3}=\frac{5}{4}$