Home > MC1 > Chapter 9 > Lesson 9.3.2 > Problem9-142

9-142.

Simplify each of the following expressions.

1. $\frac { 1 } { 2 } + \frac { 2 } { 3 } + \frac { 1 } { 6 }$

Refer to the Math Note box below for help adding and subtracting fractions.

Change each fraction so that the denominator is $6$.

$\left(\frac{1}{2}\right)\left(\frac{3}{3}\right)+\left(\frac{2}{3}\right)\left(\frac{2}{2}\right)+\frac{1}{6}=\frac{3}{6}+\frac{4}{6}+\frac{1}{6}$

$\frac{3}{6}+\frac{4}{6}+\frac{1}{6}=\frac{8}{6}=\frac{4}{3}$

$\frac{4}{3}=1\frac{1}{3}$

2. $1 \frac { 2 } { 3 } - \frac { 5 } { 12 }$

Try rewriting  $1\frac{2}{3}\text{ as }1\frac{8}{12}$. Does that help you to subtract? How?