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I assume you mean that it continues indefinitely. ANY number which repeats periodically, ad infinitum, is a rational number. You can convert this one into a fraction (showing that it is a rational number) as follows:Let:
x = 0.135135...
1000x = 135.135135...
Subtract the first equation from the second one. Solving for "x", you get "x" (your original number) as a fraction.
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