How do you evaluate -\frac { 1} { 3} - ( - \frac { 1} { 2} ) \div ( - \frac { 1} { 3} ) ?

Jan 2, 2017

$= - \frac{11}{6}$

$- 1 \frac{5}{6}$

Explanation:

There are 2 terms. Calculate the answer for the division first.

$- \frac{1}{3} - \left(\textcolor{b l u e}{- \frac{1}{2} \div - \frac{1}{3}}\right)$

$= - \frac{1}{3} - \left(\textcolor{b l u e}{- \frac{1}{2} \div - \frac{1}{3}}\right) \text{ larr} \left(- \times - = +\right)$

$= - \frac{1}{3} - \left(\textcolor{b l u e}{+ \frac{1}{2} \times \frac{3}{1}}\right)$

$= - \frac{1}{3} - \textcolor{b l u e}{\frac{3}{2}} \text{ } \leftarrow$ find a common denominator

$= - \frac{2}{6} - \frac{9}{6}$

$= \frac{- 2 - 9}{6}$

$= - \frac{11}{6}$

$- 1 \frac{5}{6}$