Total number of hours she schduled to play the game = 3[tex]\frac{3}{4}[/tex] hours.
Let us convert mixed fraction into improper fraction
[tex]3\frac{3}{4} = \frac{3*3+4}{4} = \frac{13}{4} \ hours.[/tex]
Duration of each round = [tex]\frac{7}{12}[/tex].
In order to find the number of rounds Nicole can play, we need to divide total number of hours by duration of each round.
[tex]\frac{13}{4}[/tex] ÷ [tex]\frac{7}{12}[/tex]
Converting division sign into multiplication flips the second fraction.
[tex]=\frac{13}{4} \times \frac{12}{7}[/tex]
Crossing out 12 by 4, we get 3 on the top of second fraction.
[tex]=\frac{13}{1} \times \frac{3}{7}[/tex]
[tex]=\frac{39}{7} = 5.57...( Approximately).[/tex]
Because problem is about number of rounds.
So, total number of round would be 5.
