In Lancaster's wig shop, 1/8 of the wigs are blonde and 1/2 of the wigs are brunette. What fraction of the wigs are either blonde or brunette?Write your answer as a fraction or as a whole or mixed number.
Question
In Lancaster's wig shop, 1/8 of the wigs are blonde and 1/2 of the wigs are brunette. What fraction of the wigs are either blonde or brunette?Write your answer as a fraction or as a whole or mixed number.
Solution 1
To find the total fraction of wigs that are either blonde or brunette, you simply add the fraction of blonde wigs to the fraction of brunette wigs.
The fraction of blonde wigs is 1/8 and the fraction of brunette wigs is 1/2.
To add these fractions, you need to have the same denominator. The least common denominator between 8 and 2 is 8.
The fraction 1/2 can be converted to 4/8 (since 4 is half of 8).
So, 1/8 (blonde) + 4/8 (brunette) = 5/8.
Therefore, 5/8 of the wigs in Lancaster's wig shop are either blonde or brunette.
Solution 2
To find the fraction of wigs that are either blonde or brunette, you simply add the fraction of blonde wigs to the fraction of brunette wigs.
The fraction of blonde wigs is 1/8 and the fraction of brunette wigs is 1/2.
To add these fractions, you need to have the same denominator. The least common denominator between 8 and 2 is 8.
The fraction 1/2 is equivalent to 4/8 when you have 8 as the denominator.
So, 1/8 (blonde wigs) + 4/8 (brunette wigs) = 5/8.
Therefore, 5/8 of the wigs are either blonde or brunette.
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