Duration of each game playing = 1 3/4 hours.
Let us convert 1 3/4 into mixed fracions first.
1 3/4 = (1*4+3)/4 = 7/4 hours.
Total number of hours Rory want to play = 9 hours.
Total number of games = Total number of hours ÷ Duration of each game.
Plugging values, we get
Total number of games = 9 ÷ 7/4.
Let us convert division sign into multiplication and flip the right side fraction, we get
9 × 4/7
Multiplying across, we get
(9×4)/7= 36/7.
Let us convert 36/7 into mixed fractions.
On dividing 36 by 7, we get quotient=5 and remainder=1.
So the answer 36/7 in fraction for will be 5 1/7.
Number of games Rory can play = 5 1/7 games.
Therefore, correct option is C. 5 1/7.
