Question

If there is 1/6 of a cake and Mitchell only wants 3/12 of it. how much of the cake does he want?

Answer 1

he wants 1/24 of the cake

Answer 2

Mitchell wants
`(1)/(24)` of the cake.

Explanation:

There is
`(1)/(6)` of cake and Mitchell wants
`(3)/(12)` of the cake.

Observation: The word "of" means "multiply"

This means,
`(3)/(12) .(1)/(6)`

Then
`(3)/(12) .(1)/(6)=(3)/(72)`

We can simplify:
`(3)/(72)=(3.1)/(3.24)=(3)/(3).(1)/(24)=(1)/(24)`

Then Mitchell wants
`(1)/(24)` of the cake.