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 fractionmust be integers)
On simplification, we get
Hence 0.1666666…. =
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