Convert the following repeating decimals to fractions
b) 0.155555555555

The correct answer is: 7/45

Complete step by step solution:
(b) Let x= 0.1555555555
Now multiply by 10 on both the sides,
We get, 10x = 1.55555555
On subtracting  from both the sides, we have
10x - x = 1.55555555 - 0.155555555

Multiply by 10 on numerator and denominator of x.
On multiplying, we have .(Since the numerator and denominator of a fraction must be integers)
On simplification, we get 
Hence 0.15555555 …. =