# How do you simplify the ratio 4:16 divided by the ratio 3:4?

Oct 23, 2016

$4 : 16 \text{/} 3 : 4 = \textcolor{g r e e n}{1 : 3}$

#### Explanation:

Note that the following ratios can be written in fraction form:
$\textcolor{w h i t e}{\text{XXX}} 4 : 16 = \frac{4}{16}$
$\textcolor{w h i t e}{\text{XXX}} 3 : 4 = \frac{3}{4}$

Also remember that division it the same as multiplication by the inverse.

$4 : \frac{16}{3} : 4 = \frac{4}{16} \times \frac{4}{3} = \frac{\cancel{4 \times 4}}{\cancel{16} \times 3} = \frac{1}{3}$

or back into standard ratio form $1 : 3$