Nicole is playing a video game where each round lasts \dfrac{7}{12} 12 7 start fraction, 7, divided by, 12, end fraction of an hour. She has scheduled 3\dfrac343 4 3 3, start fraction, 3, divided by, 4, end fraction hours to play the game. How many rounds can Nicole play?
Answers
Step-by-step explanation:
Answer:
Total number of hours she schduled to play the game = 3\frac{3}{4}43 hours.
Let us convert mixed fraction into improper fraction
3\frac{3}{4} = \frac{3*3+4}{4} = \frac{13}{4} \ hours.343=43∗3+4=413 hours.
Duration of each round = \frac{7}{12}127 .
In order to find the number of rounds Nicole can play, we need to divide total number of hours by duration of each round.
\frac{13}{4}413 ÷ \frac{7}{12}127
Converting division sign into multiplication flips the second fraction.
=\frac{13}{4} \times \frac{12}{7}=413×712
Crossing out 12 by 4, we get 3 on the top of second fraction.
=\frac{13}{1} \times \frac{3}{7}=113×73
Because problem is about number of rounds.
So, total number of round would be 5.
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