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?

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Answer 1 · 2016-03-31T02:07:36

#2/3#

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)|)))#