# How do you solve -2/3a=8/15?

Mar 12, 2017

$a = - \frac{4}{5}$

#### Explanation:

Multiply both sides by a common denominator (in this case it's $15$)

$- \frac{2}{3} a = \frac{8}{15}$

$- \frac{2}{3} a \cdot \frac{15}{1} = \frac{8}{15} \cdot \frac{15}{1}$

$- \frac{2}{\cancel{3}} a \cdot \frac{\textcolor{red}{5}}{1} = \frac{8}{\cancel{15}} \cdot \frac{\cancel{15}}{1}$

And find:

$- 2 a \cdot 5 = 8 \cdot 1$

so...

$- 10 a = 8$

Divide both sides by $- 10$:

$\frac{- 10 a}{-} 10 = \frac{8}{-} 10$

And get:

$a = - \frac{8}{10} = - \frac{4}{5}$