Maths-

General

Easy

Question

# Write 2.318181...... as fraction

Hint:

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

## The correct answer is: 51/22

### Complete step by step solution:

Let x = 0.318181…(i)

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

We get, 10x = 3.18181

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

100x = 31.8181

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

1000x = 318.181

On subtracting 10x from both the sides, we have

1000x - 10x = 318.181 - 3.18181

On simplification, we get x =

Now we have a fraction for 0.318181…. On adding it with 2, we have

as fraction

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