Maths-

General

Easy

Question

# Convert the following repeating decimals to fractions

b) 0.155555555555

Hint:

### Perform necessary multiplications to make it as a fraction.

## 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 …. =

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