A gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket. If a bike has 36 teeth on the front sprocket and 12 teeth on the rear sprocket, what is the gear ratio for the bike?

1 Answer
Jun 7, 2016

3:1

Explanation:

ratio = 36 to 12 = 36:12=#36/12#

To simplify the ratio we cancel 36 and 12 by the highest common factor of 36 and 12.

Factors of 36 are 1,2,3,4,6,9,12,18,36

Factors of 12 are 1,2,3,4,6,12

and the highest common factor is 12

#rArrcancel(36)^3:cancel(12)^1=3:1#