Maths-

General

Easy

Question

# Convert the following repeating decimals to fractions

c) 0.366666666666

Hint:

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

## The correct answer is: 11/30

### Complete step by step solution:

(c) Let x = 0.3666666

Now multiply by 10 on both the sides,

We get, 10x = 3.666666

On subtracting x from both the sides, we have

Multiply by 10 on numerator and denominator of x.

On multiplying, we have . (Since the numerator and denominator of a fraction must be integers)

On simplification, we get

Hence 0.3666666…. =

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