Question

How do you convert 0.243 (43 repeating) to a fraction?

Answer 1

`241/990`

Explanation:

We have

`0.2bar43`

Multiply this by `(1000-10)`:

`(1000-10)0.2bar43=243.bar43-2.bar43=241`

So, we have

`(1000-10)0.2bar43=241`

Thus

`0.2bar43=241/(1000-10)=241/990`