Of the songs in Brenna's music library, 1/5 are rock songs. Of the rock songs, 3/8 feature a guitar solo. What fraction of the songs in Brenna's music library are rock songs that feature a guitar solo?

Question

Write your answer as a fraction or as a whole or mixed number.

of the songs

Answer 1

To find the fraction of songs in Brenna's music library that are rock songs featuring a guitar solo, you can follow these steps:

1. Determine the fraction of songs that are rock songs: Brenna has \( \frac{1}{5} \) of her songs classified as rock songs.

2. Determine the fraction of rock songs that feature a guitar solo: Of the rock songs, \( \frac{3}{8} \) feature a guitar solo.

3. Multiply these two fractions to find the fraction of the total songs: \[ \text{Fraction of songs that are rock songs featuring a guitar solo} = \left(\frac{1}{5}\right) \times \left(\frac{3}{8}\right) \] \[ = \frac{1 \times 3}{5 \times 8} = \frac{3}{40} \]

Thus, \( \frac{3}{40} \) of the songs in Brenna's music library are rock songs that feature a guitar solo.