Question

Ana has 1/2 hour of free time. She divides the time equally between walking her dog and playing her favorite song on the piano. If she plays the song 3 times, how long is the song? Give your answer as a fraction of an hour. Write division equations to represent the problem.

Answer 1

The song is 5 minutes long. You can do 30/2/3=x.

Explanation:

30 minutes divided by the two things Ana does is 15 minutes for each activity. if she plays a song for 15 minutes and she plays it 3 times that would be 15/3 which is 5. the song is 5 minutes long. she played the song for 1/12 and hour since 60/5 is 12.

Answer 2

Answer with explanation:

Amount of free time Ana has =
`(1)/(2)\text{ hour}`

If she divides the time equally between walking her dog and playing her favorite song on the piano, then time she spends on playing her favorite song on the piano = (Free time) ÷ 2

`=(1)/(2)/2=(1)/(2)*(1)/(2)=(1)/(4)` hour

i.e. Time she spends on playing her favorite song on the piano =
`(1)/(4)` hour

If she plays the song 3 times , then the length of each song (x) =
`(\text{Time she spend to play her song})/{3}`

`\Rightarrow\ x=(1)/(4)/ 3`

`\Rightarrow\ x=(1)/(4)*(1)/(3)=(1)/(12)`

Hence , the length of the song is
`(1)/(12)` hour.