Question
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?
Write your answer as a fraction or as a whole or mixed number.
of the songs
Write your answer as a fraction or as a whole or mixed number.
of the songs
Answers
GPT-4o mini
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.
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.