Answer :

Let,


x = 0.125125125 ….equation 1


As 125 is the repeating term, so in all such problems multiply both sides of the equation with a number such that complete repetitive part of number comes after the decimal.


multiplying equation 1 with 1000 in both sides, we have –


1000x = 125.125125125… …equation 2


Subtracting equation 1 from equation 2,we get-


1000x – x = 125.125125125… - 0.125125125….


999x = 125


x = 125/999


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