Answer:
Small gear needs to make 3 complete rotation
Step-by-step explanation:
Consider the provided statement.
The front gear of a bicycle has 54 teeth. the back gear has 18 teeth.
We need to find the rotations must the smaller gear make for both gears to be aligned in the original starting positions.
For this you need to find the least common multiple of both numbers.
54 = 2×3×3×3
18 = 2×3×3
The LCM of the number is 54
That means 54 is the number of teeth which must be moved for both gears to return to their original position.
The number of complete rotation for the smaller gear can be:
[tex]\frac{54}{18}=3[/tex]
So small gear needs to make 3 complete rotation.
