# How do you simplify to tell whether the ratios 2/8, 5/20 form a proportion?

Jan 14, 2017

Explanation below.

#### Explanation:

To compare two fractions, we need to make their denominators the same. To do so, multiply both the numerator and the denominator of each fraction, so that their denominators are equal, then compare the numerators:

$\frac{2}{8} = \frac{2 \cdot 5}{8 \cdot 5} = \frac{10}{40}$
$\frac{5}{20} = \frac{5 \cdot 2}{20 \cdot 2} = \frac{10}{40}$

The fractions are equivalent (and equal), and thus, they form a proportion.