# How do you simplify (3 1/2 + 16 1/2) / (1/3 - 2 1/3)?

Feb 26, 2016

-10

#### Explanation:

$\frac{3 \frac{1}{2} + 16 \frac{1}{2}}{\frac{1}{3} - 2 \frac{1}{3}}$

$\textcolor{w h i t e}{\text{XXX}} = \frac{\frac{7}{2} + \frac{33}{2}}{\frac{1}{3} - \frac{7}{3}}$

$\textcolor{w h i t e}{\text{XXX}} = \frac{\frac{7 + 33}{2}}{\frac{1 - 7}{3}}$

$\textcolor{w h i t e}{\text{XXX}} = \frac{\frac{40}{2}}{- \frac{6}{3}}$

$\textcolor{w h i t e}{\text{XXX}} = \frac{20}{- 2}$

$\textcolor{w h i t e}{\text{XXX}} = - 10$