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

Answer:

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

Step-by-step 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 = $\dfrac{1}{2}\text{ hour}$

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

$=\dfrac{1}{2}\div2=\dfrac{1}{2}\times\dfrac{1}{2}=\dfrac{1}{4}$ hour

i.e. Time she spends on playing her favorite song on the piano =$\dfrac{1}{4}$ hour

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

$\Rightarrow\ x=\dfrac{1}{4}\div 3$

$\Rightarrow\ x=\dfrac{1}{4}\times\dfrac{1}{3}=\dfrac{1}{12}$

Hence , the length of the song is $\dfrac{1}{12}$ hour.