Question

How do you convert 3.123 (123 being repeated) to a fraction?

Answer 1

`41/333`

Explanation:

We first let 0.123 (123 being repeated) be `x`.

Since `x` is recurring in 3 decimal places, we multiply it by 1000.

`1000x = 123.123`

Next, we subtract them.

`1000x - x = 123.123 - 0.123`

`999x = 123`

Lastly, we divide both sides by 999 to get `x` as a fraction.

`x = 123/999`

`= 41/333`