Question

How do you convert 0.271 (71 repeating) to a fraction?

Answer 1

`269/990`

Explanation:

Let y = 0.2717171...

10y = 2 +.717171.2 = 2 + x..

Then, 100x =71 ,717171...= 71 + .717171... = 71 + x.

So, x = `71/99`.

Now, 10y = 2 + x = 2 + 71/99.

`y = 269/990`.