Maths-

General

Easy

Question

# A survey reported that 63.636363...% of moviegoers prefer action films. This percent represents a repeating decimal. Write it as a fraction.

Hint:

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

## The correct answer is: 7/11

### Complete step by step solution:

Let decimal = 63.636363

Now divide by 100, to remove %,

We get, 0.63636363

Now let Let x = 0.63636363

Now multiply by 100 on both the sides,

We get, 100x = 63.6363

On subtracting x from both the sides, we have

100x - x = 63.6363- 0.636363

On simplification, we get

Hence 636363…. =

On simplification, we get

Hence 636363…. =

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