# What is 8 divided by 2/5?

$\frac{8}{1} \div \frac{2}{5}$
$= \frac{8}{1} \cdot \frac{5}{2} = \frac{40}{2} = 20$
$8 = \frac{8}{1}$
The division is equivalent to the multiplication by the inverse element $\frac{a}{b} = a \cdot \frac{1}{b}$