Question

How much would you have if three-quarters is divided by `12`?

Answer 1

`1/16`

Explanation:

You are being asked what you would have if you divided the fraction `3/4` by 12. Imagine if `3/4` of a cake was to be shared by 12 people?
Every one would get a really small piece.

The maths is done like this.

`3/4 div 12/1`

`3/4 xx 1/12" "larr`multiply by the reciprocal

`cancel3^1/4 xx 1/cancel12^4" "larr` cancel to simplify

`=1/16`

In practical terms, to refer to the cake again, it means that each quarter would need to be shared by 4 people.

There are three-quarters (`3/4`) of the cake: `1/4 +1/4+1/4`

and 3 groups of 4 people: `4+4+4`

SO each person would get `1/4 of 1/4` which gives `1/16`