What is the result when 0.129129129… is converted to a fraction?

Correct option is D

Given,

0.129129129…

Concept:

Fraction = Numerator/Denominator

Solution:

Suppose, x = 0.129129129…

x = 0.129129129…     ----(1)

Multiply by 1000 in equation (1)

1000x = 129 + 0.129129129…     ----(2)

Subtract equation (1) from equation (2)

999x = 129

=> x = 129/999 = 43/333