0
If you want to know "why", you need to know how to solve it.
Write:
(Equation 1) x = 0.151515...
Multiply that by 100 (the factor 100, a one followed by two zeros, is chosen because the repetition occurs every two digits):
(Equation 2) 100 x = 15.151515...
Subtract equation 1 from equation 2, and solve the resulting equation for "x". That will give you the number as a fraction.
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