Maths-

General

Easy

Question

# Convert the following repeating decimals to fractions

d) 0.488888888888

Hint:

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

## The correct answer is: 22/45

### Complete step by step solution:

(d) Let x = 0.4888888888

Now multiply by 10 on both the sides,

We get, 10x = 4.888888888

On subtracting from both the sides, we have

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 0.4888888 …. =

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