Answer
$a=-\frac{5}{4}$
Work Step by Step
We are given the equation $\frac{1}{2}-\frac{3}{4}=\frac{a}{5}$. To solve, we must first combine like terms on the left side.
$\frac{1}{2}-\frac{3}{4}=\frac{1\times2}{2\times2}-\frac{3}{4}=\frac{2}{4}-\frac{3}{4}=\frac{2-3}{4}=-\frac{1}{4}=\frac{a}{5}$
Multiply both sides by 5.
$-\frac{1}{4}\times5=-\frac{5}{4}=(\frac{a}{5}\times5)=a$
$a=-\frac{5}{4}$
