Maths-

General

Easy

Question

# Write the repeating decimal 4.13636363.... as a fraction

Hint:

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

## The correct answer is: 91/22

Complete step by step solution:

Let x = 0.13636…(i)

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

We get, 10x = 1.363636

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

100x = 13.63636

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

1000x = 136.3636

On subtracting from both the sides, we have

1000x - 10x = 136.3636- 1.363636

On simplification, we get x =

Now we have a fraction for 0.1363636…. On adding it with 4, we have

as fraction

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