# Craig is folding laundry for his family. In the basket, 1/6 of the shirts belong to his older brother and 3/6 of the shirts belong to his younger brother. What fraction of the shirts belong to either his older or younger brother?

Mar 31, 2016

$\frac{2}{3}$

#### Explanation:

Given:
- Craig's older brother's shirts take up $\frac{1}{6}$ of the basket
- Craig's younger brother's shirts take up $\frac{3}{6}$ of the basket.

You are trying to find:
- how much of the basket belongs to Craig's older or younger brother

Thus, add $\frac{1}{6}$ and $\frac{3}{6}$ together. Since $\frac{1}{6}$ and $\frac{3}{6}$ have the same denominator, you can directly add the numerators of the fractions together.

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

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

$= \frac{4}{6}$

Since the numerator and denominator have a common factor of $\textcolor{red}{2}$, the fraction is reduced.

$\frac{4 \textcolor{red}{\div 2}}{6 \textcolor{red}{\div 2}}$

$= \textcolor{g r e e n}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \frac{2}{3} \textcolor{w h i t e}{\frac{a}{a}} |}}}$