Question

Nicole is playing a video game where each round lasts 7/12 of an hour.She has scheduled 3 3/4 hours to play the game. How many rounds can Nicole play?

Answer 1

Step-by-step explanation:

3 3/4 ÷ 7/12

= 15/4 ÷ 7/12

= 15/4 x 12/7

= 6 3/7 rounds <=== so 6 complete rounds

Answer 2

Given: Time taken to complete each round of the video game = $\frac{7}{12}$ of an   hour

Total time that Nicole has scheduled to play the game = $3\frac{3}{4}$ hours

To find: How many rounds can Nicole play in scheduled time

Solution:

According to the given question,

Duration of each round = $\frac{7}{12}$ hour

Time scheduled by Nicole to play the game = $3\frac{3}{4} \ or \ \frac{15}{4}$ hour

∵ Number of rounds she can play = $\frac{Scheduled \ time}{Duration \ of \ each \ round}$

                                                         = $\frac{15}{4}$ ÷ $\frac{7}{12}$

                                                         = $\frac{15}{4} \ * \ \frac{12}{7} = \frac{45}{7} \ rounds$

So, Nicole can play $\frac{45}{7}$ round i.e., 6.42 (6 approx.)

Hence, Nicole can play 6 complete rounds during the scheduled time.