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K4FECN6 (102)

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Olaaa!! Perrrfect answer. 16  [27 rates]

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Let X denote the figure which does not recur and assume they are l in number.
Let Y denote recurring period of consisting of m figures.
Let R denote the value of the recurring decimal.
Then, R=0.XYYY
Therefore, 10lR=X.YYY --- 1
And, 10l+m.R=XY.YY --- 2
Subtracting 1 from 2 we get, R=(XY-X)/(10l+m - 10l).





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