# How do you simplify 4 1/4 div 3 2/5?

Jun 30, 2016

Convert the components into improper fractions; replace the division by multiplication by the inverse, to get: $\textcolor{b l u e}{20}$

#### Explanation:

$4 \frac{1}{4} \div 3 \frac{2}{5}$

$\textcolor{w h i t e}{\text{XXX}} = \frac{17}{4} \div \frac{17}{5}$

$\textcolor{w h i t e}{\text{XXX}} = \frac{17}{4} \times \frac{5}{17}$

$\textcolor{w h i t e}{\text{XXX}} = 4 \times 5$

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