# How do you simplify 2/5 * 2/3 +1/5 div 2/3?

Apr 17, 2015

$\frac{2}{5} \cdot \frac{2}{3} + \frac{1}{5} \div \frac{2}{3}$

$= \frac{4}{15} + \frac{1}{5} \cdot \frac{3}{2}$

$= \frac{4}{15} + \frac{3}{10}$

Now ask yourself the question, what do 15 and 10 both fit into?

*The answer is 30. So let's transform the denominators of these fractions into 30.

$= \frac{4}{15} \cdot 1 + \frac{3}{10} \cdot 1$

$= \frac{4}{15} \cdot \frac{2}{2} + \frac{3}{10} \cdot \frac{3}{3}$

$= \frac{8}{30} + \frac{9}{30}$

$= \frac{17}{30}$