Since the digits after decimal point is repeating in a pair of 36 when we multiply \(\frac{m}{n}\) by 100 we get 36.363636.....

Therefore, \(100 * \frac{m}{n}- \frac{m}{n} = 36\)

or, \(99 \frac{m}{n} = 36\)

or, \(99m = 36n\)

The ans requires the value of m such that m/n is reduced to its lowest fraction

Therefore when dividing both sides by 9 we get,

\(11m = 4n\)

or, \(\frac{m}{n}\) = \(\frac{4}{11}\)

Hence,

m = 4
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This is my response to the question and may be incorrect. Feel free to rectify any mistakes