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The rational number given by $$0.1\overline{36}$$ is
$$\frac{2}{11}$$
$$\frac{3}{22}$$
$$\frac{4}{23}$$
$$\frac{5}{44}$$
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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