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
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8 2/6 is the fraction form of 8.333333....
9 repeating = infinity. If you mean 0.9999... repeating as a fraction, that is equal to 1. Proof: 1/3 = 0.3 repeating (0.3333...) 2/3 = 0.6 repeating (0.6666...) 1/3 + 2/3 = 3/3 = 1 0.3333... + 0.6666... = 0.9999... 0.9999... = 1 End of Proof:
The fraction for .4 repeating is 2/5.
26/9
It is: 2/15 as a fraction