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

Feb 7, 2018

$8 \frac{2}{15}$

#### Explanation:

Work with the whole numbers first, and then deal with the fractions,

$\textcolor{b l u e}{4} \frac{4}{5} + \textcolor{b l u e}{3} \frac{1}{3}$

$= \textcolor{b l u e}{7} + \frac{4}{5} + \frac{1}{3} \text{ } \leftarrow$ the $L C M = 15$

Make equivalent fractions with $15$ in each denominator

$= 7 + \left(\frac{4}{5} \times \frac{3}{3}\right) + \left(\frac{1}{3} \times \frac{5}{5}\right)$

$= 7 + \frac{12}{15} + \frac{5}{15}$

$= 7 \frac{12 + 5}{15}$

$= 7 \frac{17}{15} \text{ "larr " change } \frac{17}{15}$ into a mixed number

$= 7 + 1 \frac{2}{15}$

$= 8 \frac{2}{15}$