Question 87

The rational number given by $$0.1\overline{36}$$ is

Solution

y=0.1363636.....

10y=1.363636...

1000y=136.3636....

Subtracting both of them we get

990y=135 or y=135/990 or y=3/22 (dividing the numerator and denominator by 45)

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