Of the shirts in Frank's chest of drawers, 1/2 are striped, while another 1/3 are plaid. What fraction of the shirts are either striped or plaid?Write your answer as a fraction or as a whole or mixed number.
Question
Of the shirts in Frank's chest of drawers, 1/2 are striped, while another 1/3 are plaid. What fraction of the shirts are either striped or plaid?Write your answer as a fraction or as a whole or mixed number.
Solution
To find the total fraction of shirts that are either striped or plaid, you simply add the fractions together.
The fraction of striped shirts is 1/2 and the fraction of plaid shirts is 1/3.
To add these fractions together, you need to find a common denominator. The least common denominator between 2 and 3 is 6.
Convert the fractions to have this common denominator:
1/2 becomes 3/6 (because 13/23 = 3/6) 1/3 becomes 2/6 (because 12/32 = 2/6)
Now you can add these fractions together:
3/6 (striped shirts) + 2/6 (plaid shirts) = 5/6
So, 5/6 of the shirts are either striped or plaid.
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