Question

A gear in a machine turns 2 1/2 times every hour.

How many turns does the gear make in 2 1/4 hours?
Express your answer in simplest terms.

A. 4 1/4


B. 4 1/8


C. 5 5/8


D. 6 1/4

Answer 1

we can solve this by multiplying those two numbers but we place them in improper fraction.

2 1/2 x 2 1/4
becomes
5/2 x 9/4

for fraction multiplication, just multiply numerator by numerator and denominator by denominator

5/2 x 9/4 = 45/8

we can simplify this into mixed fraction while numbers in whole numbers and remainder in numerator

5 5/8 is the answer