what is $0.00\overline{02}$ 02 repeated as a fraction?
Sorry, can't read your question as written. Write it in "plaintext". Thanks.
Looks like this is meant to be: 0.0002020202....
So let x = 0.0002020202...
Then 100x = 0.0202020202...
Subtract the first from the second: 99x = 0.02, so x = 0.02/99
Multiply numerator and denominator by 100: x = 2/9900
Simplify: x = 1/4950
Thanks Alan. Just take the reciprocal of the decimal as: 1/0.0002020202020....=4,950. Or, the reciprocal of 4,950 as: 1/4,950 =0.00020202020..........etc.
Thanks