Question

What is the ratio `2/3` to `8` as a fraction written in simplest form?

Answer 1

`1/12` or 1 to 12

Explanation:

The ratio is

`(2/3)/8=2/(3*8)=2/24=1/12`

So it is 1 to 12

Answer 2

A different approach to get 1 : 12

Explanation:

The ratio can be written as: `" "2/3 " ":" " 8`

In the same way that ratios can be simplified by dividing by common factors, we can also multiply, as long as all the parts of the ratio are multiplied by the same number.

Multiplying by 3 will cause the denominator to cancel, giving whole numbers:

`color(white)(xxxxxxxxxxxx)` `" "cancel(3) xx2/cancel3 " ":" " 8xx3`
`color(white)(xxxxxxxxxxxxxxxxxx)` `2 " ":" " 24`

`color(white)(xxxxxxxxxxxxxxxxxx)` `1 " ":" " 12`