Beven has a collection of 72 music CDs. One-sixth of the CDs are dance music 1/4 are hip hop, and 3/8 are reggae. The rest of the CDs are rock music. What fraction of her CDs are rock music?
In math, “of” can mean “multiply” the fraction or percent by the whole.
The total cds now is 12+18+27= 57 cds.
The rest are rock music, and there is a total of 72 cds, so 72 - 57 = 15 rock cds.
The question asks “what fraction of the cds are rock music”. 15 cds are rock, out of 72 total cds, so
All fractions of the total should add to one whole ✅
The way that I'm going to solve this problem is a little bit different, but I feel that it's the simplest way to find the correct answer.
We know that Beven's
Beven has only one collection, so we'll say that
We need to give all of the fractions the same denominator so that we can add them together. I'll go ahead and change
Put these fractions back into the problem and add: