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

Answer:

6/15 = 2/5 of her collection

Step-by-step 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

Answer:

$\frac{2}{5}$

Step-by-step 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 $\frac{3}{5}$ of $\frac{2}{3}$.

$\text{Amount of music collection listened by Frannie on vacation}=\frac{2}{3}\times \frac{3}{5}$

$\text{Amount of music collection listened by Frannie on vacation}=\frac{2*3}{3*5}$

$\text{Amount of music collection listened by Frannie on vacation}=\frac{2}{5}$

Therefore, Frannie listened $\frac{2}{5}$ of her music collection  while on vacation.