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
    rightwards double arrow 9 x space equals space 1.5
rightwards double arrow x space equals space fraction numerator 1.5 over denominator 9 end fraction
    Multiply by 10 on numerator and denominator of x.
    On multiplying, we have 15 over 90. (Since the numerator and denominator of a fraction
    must be integers)
    On simplification, we get 1 over 6
    Hence 0.1666666…. = 1 over 6

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