# 3 part ratio and dealing with decimals

To work out ratios with decimals

Get rid of the decimal.

(We only work in integers.)

By

Keep multiplying all 3 ratios by 10 until decimal disappears.

**Example **

Simplify the following ratio with decimals.

`3:2.4:0.45`

Multiply all 3 ratios by `10`

`3times10:2.4times10:0.45times10`

`30:24:4.5`

Because there is still a decimal in the ratio continue multiplying all 3 ratios by `10`.

`30times10:24times10:4.5times10`

`300:240:45`

Now we have removed the decimals we can now simplify `300:240:45`

(see our section on 3 part ratios - simplify integers)

`300:240:45`

`2`, `3`, `4`, `5.......` The first number that will divide into all of the ratio numbers is `3`.

`300/3:240/3:45/3`

`100:80:15`

`3` will not divide into these numbers again, the next number that will is `5`.

`100/5:80/5:15/5`

`20:16:3`

This ratio will not divide down any further so the answer is.

`20:16:3`