Question

what is the simplified gear reduction for this gear ratio?

Explanation:

Step1: Simplify the fraction

To find the simplified gear reduction ratio, we simplify the fraction \( \frac{12}{60} \).
We find the greatest common divisor (GCD) of 12 and 60. The factors of 12 are \( 1, 2, 3, 4, 6, 12 \), and the factors of 60 are \( 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 \). The GCD of 12 and 60 is 12.
We divide both the numerator and the denominator by 12: \( \frac{12\div12}{60\div12}=\frac{1}{5} \).

Answer:

\( \frac{1}{5} \)