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

Apr 24, 2018

$\frac{5}{6}$

#### Explanation:

To divide by a fraction:

Multiply by the reciprocal:

Change the divide to multiply and flip the fraction that follows:

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

$= \frac{2}{3} \times \frac{5}{4}$

$= \frac{\cancel{2}}{3} \times \frac{5}{\cancel{4}} ^ 2$

$= \frac{5}{6}$