Maths-

General

Easy

Question

# Convert the following repeating decimals to fractions

c) 0.2151515151515........

Hint:

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

## The correct answer is: 71/330

### Complete step by step solution:

(c) Let x = 0.215151515…(i)

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

We get, 10x = 2.151515

Now multiply by 100 on both the sides in (i),

100x = 21.51515

Now multiply by 1000 on both the sides in (i),

1000x = 215.151515

On subtracting 10x from both the sides, we have

On simplification, we have

Hence 0.2151515151515....... =

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