How do you solve 4/5x =10/20?

Jun 26, 2018

color(blue)(x = (1 * 5) / (2 * 4) = 5/8

Explanation:

$\frac{4}{5} x = \frac{10}{20}$

x = ((10/20)) / (4/5)), " cross multiplying"

$x = \left(\frac{10}{20}\right) \cdot \left(\frac{5}{4}\right)$

$x = \frac{\cancel{10} \cdot 5}{{\cancel{20}}^{\textcolor{red}{2}} \cdot 4}$

color(blue)(x = (1 * 5) / (2 * 4) = 5/8