Question

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? rounds

Answer 1

Answer:it is 45/7

Step-by-step explanation:

Answer 2

Total number of hours she schduled to play the game = 3$\frac{3}{4}$ hours.

Let us convert mixed fraction into improper fraction

$3\frac{3}{4} = \frac{3*3+4}{4} = \frac{13}{4} \ hours.$

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

In order to find the number of rounds Nicole can play, we need to divide total number of hours by duration of each round.

$\frac{13}{4}$ ÷ $\frac{7}{12}$

Converting division sign into multiplication flips the second fraction.

$=\frac{13}{4} \times \frac{12}{7}$

Crossing out 12 by 4, we get 3 on the top of second fraction.

$=\frac{13}{1} \times \frac{3}{7}$

$=\frac{39}{7} = 5.57...( Approximately).$

Because problem is about number of rounds.

So, total number of round would be 5.