At Lola's Boutique, 1/2 of the trousers are denim. Another 1/6 are khaki. What fraction of the trousers are either denim or khaki?
Question
At Lola's Boutique, 1/2 of the trousers are denim. Another 1/6 are khaki. What fraction of the trousers are either denim or khaki?
Solution
To find the total fraction of trousers that are either denim or khaki, you simply add the fraction of denim trousers to the fraction of khaki trousers.
The fraction of denim trousers is 1/2.
The fraction of khaki trousers is 1/6.
So, to find the total fraction of trousers that are either denim or khaki, you add 1/2 and 1/6.
To add these fractions, you need to find a common denominator. The least common denominator between 2 and 6 is 6.
Rewrite 1/2 as 3/6 so that both fractions have the same denominator.
Now, add 3/6 (denim) and 1/6 (khaki) together.
3/6 + 1/6 = 4/6
Therefore, 4/6 or 2/3 of the trousers are either denim or khaki.
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