# How do you simplify -4 div 3/2?

Feb 21, 2017

See the entire simplification process below

#### Explanation:

First we can rewrite this expression as:

$- 4 \div \frac{3}{2} = - \frac{4}{1} \div \frac{3}{2} = \frac{\frac{- 4}{1}}{\frac{3}{2}}$

We can use this rule for dividing fractions to complete the simplification:

$\frac{\frac{\textcolor{red}{a}}{\textcolor{b l u e}{b}}}{\frac{\textcolor{g r e e n}{c}}{\textcolor{p u r p \le}{d}}} = \frac{\textcolor{red}{a} \times \textcolor{p u r p \le}{d}}{\textcolor{b l u e}{b} \times \textcolor{g r e e n}{c}}$

$\frac{\frac{\textcolor{red}{- 4}}{\textcolor{b l u e}{1}}}{\frac{\textcolor{g r e e n}{3}}{\textcolor{p u r p \le}{2}}} = \frac{\textcolor{red}{- 4} \times \textcolor{p u r p \le}{2}}{\textcolor{b l u e}{1} \times \textcolor{g r e e n}{3}} = - \frac{8}{3}$