Question

of all the songs on a playlist, 1/3 are rock, 1/8 are dance, and the rest are country. what fraction of all the songs on the playlist are country?

Answer 1

13/24

Explanation:

First, it would be easier to find the common denominator of 1/3 and 1/8. The easiest way to do that is to do 3x8=24. This means the common denominator is 24 and so we must convert the fractions so they have this denominator.

1/3 --> 8/24

1/8 --> 3/24

Now, we can simply add these fractions together to find out the fraction of songs that are NOT country songs.

8/24 + 3/24 = 11/24 songs are not country songs.

To find out the fraction of songs that are country, simply do 1 (or 24/24) take away 11/24.

24/24 - 11/24 = 13/24 songs are country songs.