Question

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?

Answer 1

`2/3`

Explanation:

Given:
- Craig's older brother's shirts take up `1/6` of the basket
- Craig's younger brother's shirts take up `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 `1/6` and `3/6` together. Since `1/6` and `3/6` have the same denominator, you can directly add the numerators of the fractions together.

`1/6+3/6`

`=(1+3)/6`

`=4/6`

Since the numerator and denominator have a common factor of `color(red)2`, the fraction is reduced.

`(4color(red)(-:2))/(6color(red)(-:2))`

`=color(green)(|bar(ul(color(white)(a/a)2/3color(white)(a/a)|)))`