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.

Answer 1

45/7 rounds

6 3/7 rounds

Explanation:

Here is the full question

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

Number of rounds she can play = total time she has scheduled / length of each round

length of each round = 7/12

total time she has scheduled = 3 3/4

3 3/4 ÷ 7/12

3 3/4 x 12/7

convert to the total time scheduled to an improper fraction

to convert to improper fraction, take the following steps :

1. Multiply the whole number (3) by the denominator (4) = 3x 4 = 12
2. Add the numerator to the answer gotten in the previous step = 14 + 3 = 15
3. divide the number gotten in the previous step by the denominator = 15/4

`(15)/(4)` ×
`(12)/(7)` =
`(45)/(7)` rounds or
`6(3)/(7)` rounds