Question

If $3\frac{a}{4}=\frac{15}{4}$, then the value of a is ___.

Answer 1

$3\frac{a}{4}$ is a mixed fraction, where a mixed fraction is a combination of whole number and a proper fraction.

$3\frac{a}{4}=$ $\frac{(3\times 4)+a}{4}$ = $\frac{12+a}{4}$ [Any mixed fraction x$\frac{y}{z}$ can be written as $\frac{xz+y}{z}$]

Given, $\frac{(12+a)}{4}$ = $\frac{15}{4}$

Comparing the numerator gives, $(12+a)=15$

$\therefore$ a = (15 - 12) = 3