Maths-

General

Easy

Question

# A Student estimates the weight of astronauts on the moon by multiplying their weight by the decimal 0.1666666..., What fraction can be used for the same estimation ?

Hint:

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

## The correct answer is: 1/6

### Complete step by step solution:

Let x = 0.1666666

Now multiply by 10 on both the sides,

We get, 10x = 1.666666

On subtracting x from both the sides, we have

10x - x = 1.666666 - 0.1666666

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 0.1666666…. =

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 0.1666666…. =

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