Question

In Princeton's wig shop, 1/4 of the wigs are blonde and 2/3 of the wigs are brunette. What fraction of the wigs are either blonde or brunette?

Answer 1

`(11)/(12)`

Explanation:

`(1)/(4)` +
`(2)/(3)` The common denominator is 12 make equivalent fractions with 12 as the denominator

`(1)/(4)` x
`(3)/(3)` =
`(3)/(12)`

`(2)/(3)` x
`(4)/(4)` =
`(8)/(12)`

`(3)/(12)` +
`(8)/(12)` =
`(11)/(12)`

Answer 2

In Princeton's wig shop, the total number of wigs is the sum of the number of blonde wigs and the number of brunette wigs. Since 1/4 of the wigs are blonde and 2/3 of the wigs are brunette, the fraction of wigs that are either blonde or brunette is 7/12.