Question

The value of a if $4\frac{a}{6}$ = $\frac{27}{6}$ is :

Answer 1

Note that $4\frac{a}{6}$ is a mixed fraction.

$4\frac{a}{6}=$ $\frac{(6\times 4)+a}{6}=$ $\frac{24+a}{6}$

Given, $\frac{(24+a)}{6}$ = $\frac{27}{6}$

Comparing the numerators on both sides, we get $24+a=27$

Therefore, $a=(27-24)=3$