# How do you simplify(4/5 + 2/4)/20?

Nov 11, 2017

Find LCD on top and add the fractions.
Flip division into multiplication.
$\frac{13}{200}$

#### Explanation:

$\frac{\frac{4}{5} + \frac{2}{4}}{20}$

work the numerator by finding a common LCD so we can make it one term
$\frac{4}{5} + \frac{2}{4} = \frac{4}{5} + \frac{1}{2}$

$\frac{4}{5} + \frac{1}{2} \text{ }$ LCD is $10 = 5 \cdot 2$

$\frac{\frac{4 \cdot 2}{5 \cdot 2} + \frac{1 \cdot 5}{2 \cdot 5}}{20}$

$\frac{8}{10} + \frac{5}{10} = \frac{13}{10}$

$\frac{\frac{13}{10}}{20}$ which means $\frac{13}{10} \div 20$

inverse of division is multiplication

inverse of 20 is $\frac{1}{20}$ because $\frac{20}{1} \cdot \frac{1}{20} = 1$

$\frac{13}{10} \cdot \frac{1}{20}$

$= \frac{13}{200}$