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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