Question

What is 0.08 written as a fraction in simplest form?

Answer 1

`(2)/(25)`

Explanation:

Each "place" in the decimal, can be represented with a base 10 in the numerator.

For example the "tenths" place can be represented as:
`(a)/(10^1)` where a=decimal.

The hundredths place can be represented as:
`(a)/(10^2)`

The thousandths place can be represented as:
`(a)/(10^3)`

and so on...

In this case, we have a decimal in the hundredths place which can be represented as:
`(8)/(10^2) = (8)/(100)`. Now to simplify this fraction, you simply divide both sides by 4 (greatest common factor of 8 and 100), or in other words multiply it by 0.25/0.25 which is just 1, so the value is the same.
`(8)/(100) * (0.25)/(0.25) = (2)/(25)`