# How do you calculate 6 1/8-(5-1 2/3)?

Jan 3, 2017

$= 2 \frac{19}{24}$

#### Explanation:

$6 \frac{1}{8} - \textcolor{b l u e}{\left(5 - 1 \frac{2}{3}\right)}$, we need to calculate the answer for the bracket.

YOu should be able to do this by inspection ...
Subtract 1 from 5, and then subtract $\frac{2}{3} \text{ from } 4$

$\textcolor{b l u e}{5 - 1 \frac{2}{3} = 4 - \frac{2}{3} = 3 \frac{1}{3}}$

$6 \frac{1}{8} - 3 \frac{1}{3} \text{ } \leftarrow$ change to improper fractions

$= \frac{49}{8} - \frac{10}{3} \text{ } \leftarrow$ find a common denominator

$= \frac{147 - 80}{24}$

$= \frac{67}{24}$

$= 2 \frac{19}{24}$