Station QBE played 40 minutes of uninterrupted music. Of the songs played, 2/3 were performed by female vocalists and 3/5 of these were ballads. What fraction of the uninterrupted music was ballads by female vocalists?

So you want to find 3/5 of 2/3 of 40.

Answer is 16

thnx

Multiply:

2/3 * 3/5 = ?

how did u get the answer?

2/3 * 3/5 = 6/15 = 2/5

2/5 * 40 = 16

To find the fraction of the uninterrupted music that was ballads by female vocalists, we need to multiply the fractions representing the proportion of female vocalists and the proportion of ballads among them.

First, let's find the fraction of songs performed by female vocalists. We are given that 2/3 of the songs were performed by female vocalists. So, the fraction of songs performed by female vocalists is 2/3.

Next, let's find the fraction of these female vocalists' songs that were ballads. We are given that 3/5 of the songs performed by female vocalists were ballads. So, the fraction of female vocalists' songs that were ballads is 3/5.

To find the fraction of the uninterrupted music that was ballads by female vocalists, we multiply the fractions:

(2/3) * (3/5) = 6/15 = 2/5

Therefore, 2/5 or two-fifths of the uninterrupted music was ballads by female vocalists.