# How do you simplify 4 div 2/3?

May 9, 2017

See a solution process below:

#### Explanation:

First, we can rewrite this expression as: $\frac{4}{1} \div \frac{2}{3} \implies \frac{\frac{4}{1}}{\frac{2}{3}}$

We can again rewrite this expression, now using this rule for dividing fractions:

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

$\frac{\frac{\textcolor{red}{4}}{\textcolor{b l u e}{1}}}{\frac{\textcolor{g r e e n}{2}}{\textcolor{p u r p \le}{3}}} \implies \frac{\textcolor{red}{4} \times \textcolor{p u r p \le}{3}}{\textcolor{b l u e}{1} \times \textcolor{g r e e n}{2}} \implies \frac{12}{2} \implies 6$