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

Feb 16, 2017

$\frac{1}{16}$

#### Explanation:

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

The maths is done like this.

$\frac{3}{4} \div \frac{12}{1}$

$\frac{3}{4} \times \frac{1}{12} \text{ } \leftarrow$multiply by the reciprocal

${\cancel{3}}^{1} / 4 \times \frac{1}{\cancel{12}} ^ 4 \text{ } \leftarrow$ cancel to simplify

$= \frac{1}{16}$

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 ($\frac{3}{4}$) of the cake: $\frac{1}{4} + \frac{1}{4} + \frac{1}{4}$

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

SO each person would get $\frac{1}{4} o f \frac{1}{4}$ which gives $\frac{1}{16}$