# How do you simplify 3 1/3 + 2 4/5 ?

Jun 12, 2016

$3 \frac{1}{3} + 2 \frac{4}{5} = \textcolor{g r e e n}{6 \frac{2}{15}}$

#### Explanation:

$3 \frac{1}{3} + 2 \frac{4}{5}$

$\textcolor{w h i t e}{\text{XXX}} = 3 + 2 + \frac{1}{3} + \frac{4}{5}$

Convert the fractions so they have the same denominators
$\textcolor{w h i t e}{\text{XXX}} = 3 + 2 + \frac{5}{15} + \frac{12}{15}$

$\textcolor{w h i t e}{\text{XXX}} = 3 + 2 + \frac{17}{15}$
$\textcolor{w h i t e}{\text{XXX}} = 3 + 2 + 1 + \frac{2}{15}$
$\textcolor{w h i t e}{\text{XXX}} = 6 + \frac{2}{15}$
$\textcolor{w h i t e}{\text{XXX}} = 6 \frac{2}{15}$