Maths-

General

Easy

Question

# Write the repeating decimal 0.6333....... as a fraction.

Hint:

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

## The correct answer is: 19/30

### Complete step by step solution:

Let x = 0.6333…(i)

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

We get, 10x = 6.333

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

100x = 63.33

On subtracting from both the sides, we have

100x - 10x = 63.33 - 6.333

90x = 57

x =

On simplification, we get

Hence 0.6333…. =

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