What is 0.12 with the 1 and 2 repeating as a fraction?

Answer 1

You are asking what is .12121212.... as a fraction.

Now the repeating part has length two. Let's call the decimal .12121212.... W ( for Wiki of course)

Now look at 100W=12.121212... Subtract W from 10W to get rid of the repeating part. 100W-W=12.12121212121....-.12121212121... so 99W=12 and W=12/99 which is 4/33 The answer I think you are looking for is:

4/33

Any double digit number over the same amount of 9s is equal to that number repeating

For example:

48/99 = 0.4848484848...

103/999 = 0.103103103103...

8/9 = 0.888888888888...

And therefore, 0.12121212... would have to be 12/99, which is simplified into 4/33