# How do you solve 5/6 - a/4 = 1/3?

Jul 29, 2015

The solution is $a = 2$.

#### Explanation:

$\frac{5}{6} - \frac{a}{4} = \frac{1}{3}$

Multiply both sides times $4$.

$\frac{20}{6} - a = \frac{4}{3}$

Simplify $\frac{20}{6}$ to $\frac{10}{3}$.

$\frac{10}{3} - a = \frac{4}{3}$

Subtract $\frac{10}{3}$ from both sides.

$- a = \frac{4}{3} - \frac{10}{3}$ =

$- a = - \frac{6}{3}$

Simplify $- \frac{6}{3}$ to $- 2$.

$- a = - 2$

Multiply both sides by $- 1$.

$a = 2$