Maths-

General

Easy

Question

# Convert the following repeating decimals to fractions

a) 0.2222222

Hint:

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

## The correct answer is: 2/9

### Complete step by step solution:

(a) Let x = 0.22222222…(i)

Now multiply by 10 on both the sides in (i),

We get, 10x = 2.2222222

On subtracting x from both the sides, we have

10x - x = 2.222222 - 0.2222222

On simplification, we get

Hence 0.222222…. =

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