Question

What is 0.032 as a fraction?

Answer 1

`0.032= 4/125`

Explanation:

A decimal can be given as a fraction with very little working.

Each decimal place represents a power of 10.

3 decimal places represent the number of thousandths.

`0.032 = 32/1000`

This can be changed to simplest form by dividing by `8/8`.

`(32 div8)/(1000div8) = 4/125`

Answer 2

`4/125`

Explanation:

The numbers after the decimal point determine the `color(blue)"place value"`

Hence 0.032 denotes 0 tenths, the 3 denotes 3 hundredths and the 2 denotes 2 thousandths.

`rArr0.032=3/100+2/1000`

Expressing with `color(blue)"common denominators"`

`=(3/100xx10/10)+2/1000=30/1000+2/1000=32/1000`

The fraction `32/1000` can be simplified by `color(blue)"cancelling"`

`(32÷8)/(1000÷8)=4/125`

That is `32/1000=cancel(32)^4/cancel(1000)^(125)=4/125" in simplest form"`