# How do you simplify (9 1/3+4 1/3)div 6-(-12)?

Apr 30, 2018

$14 \frac{5}{18}$

#### Explanation:

Count the number of terms first and simplify each term separately.

$\textcolor{b l u e}{\left(9 \frac{1}{3} + 4 \frac{1}{3}\right) \div 6} \text{ } \textcolor{red}{- \left(- 12\right)}$

$= \textcolor{b l u e}{\left(13 \frac{2}{3}\right) \div 6} \text{ } \textcolor{red}{+ 12}$

$= \textcolor{b l u e}{\frac{41}{3} \times \frac{1}{6}} \text{ } \textcolor{red}{+ 12}$

$= \textcolor{b l u e}{\frac{41}{18}} \text{ } \textcolor{red}{+ 12}$

$= \textcolor{b l u e}{2 \frac{5}{18}} \text{ } \textcolor{red}{+ 12}$

$= 14 \frac{5}{18}$