Question

A gear ratio is the ratio of the teeth on the front 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??

Answer 1

The gear ratio of the bike = 3:1

Explanation:

Question:

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?

Given:

Number of teeth on the front sprocket = 36

Number of teeth on the rear sprocket = 12

To find the gear ratio for the bike.

Solution:

The gear ratio of a bike is the ratio of the number of teeth on the front sprocket and the number of teeth on the rear sprocket.

Thus, the gear ratio can be given as:

`\frac{\textrm{Number of teeth on front sprocket}}{\textrm{Number of teeth on rear sprocket}}`

⇒
`(36)/(12)`

Reducing to simple fraction by dividing the numerator and denominator by their GCF.

⇒
`(36/ 12)/(12/ 12)`

⇒
`(3)/(1)`

Thus the gear ratio can be given = 3:1