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 frannies music collection did she listen to while on vacation?

Answer 1

6/15 = 2/5 of her collection

Explanation:

She starts out with 2/3 of her collection on the player.

She listens to 3/5 of this; that is 3/5(2/3) = (3*2)/(5*3) = 6/15. This simplifies to 2/5.

Answer 2

`(2)/(5)`

Explanation:

We have been given that 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.

To find the amount of music collection listened by Frannie, while on vacation, we need to find
`(3)/(5)` of
`(2)/(3)`.

`\text{Amount of music collection listened by Frannie on vacation}=(2)/(3)* (3)/(5)`

`\text{Amount of music collection listened by Frannie on vacation}=(2*3)/(3*5)`

`\text{Amount of music collection listened by Frannie on vacation}=(2)/(5)`

Therefore, Frannie listened
`(2)/(5)` of her music collection while on vacation.