Question

Frannie put 2/3 of her music collection on an MP3 player. While on vacation, she listened to 3/5 of the music on the player. How much of Frannie’s music collection did she listen to while on vacation? For numbers 4a - 4d, choose the correct values to describe how to solve the problem. Draw a rectangular array with 3 rows

Answer 1

Answer:
2/5 which is equivalent to 0.4

Explanation:
Assume that the total number of songs in the collection is x.

We know that she put 2/3 of the collection in the MP3 player.
This means that:
number of songs on the MP3 player = $\frac{2}{3} x$ songs

Now, she listened to 3/5 of the number of songs on her player. This means that:
number of songs she listened to = $\frac{3}{5} * \frac{2}{3} x = \frac{2}{5} x$ songs

Based on the above, Frannie listened to 2/5 of her collection of songs during her vacation.

Hope this helps :)