Question

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Answer 1

`(5)/(24)`

Explanation:

Calculate the number of CD's of the different musical styles

`(1)/(6)` × 72 =
`(72)/(6)` = 12 ← dance CD's

`(1)/(4)` × 72 =
`(72)/(4)` = 18 ← hip hop CD's

`(3)/(8)` × 72 = 3 × 9 = 27 ← reggae CD's

total = 12 + 18 + 27 = 57

number of rock CD's = 72 - 57 = 15

fraction of rock CD's =
`(15)/(72)` =
`(5)/(24)`