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If m and n are integers, what is the smallest possible value
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22 May 2018, 08:36
22 May 2018, 08:36
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Question Stats:
63% (01:11) correct
36% (01:29) wrong based on 38 sessions
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If m and n are integers, what is the smallest possible value of integer m, if m/n = 0.36363636..........?
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Re: If m and n are integers, what is the smallest possible value
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24 May 2018, 21:57
24 May 2018, 21:57
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Since the digits after decimal point is repeating in a pair of 36 when we multiply mn by 100 we get 36.363636.....
Therefore, 100∗mn−mn=36
or, 99mn=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, mn = 411
Hence, m = 4
Therefore, 100∗mn−mn=36
or, 99mn=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, mn = 411
Hence, m = 4
General Discussion
Re: If m and n are integers, what is the smallest possible value
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16 Mar 2021, 06:43
16 Mar 2021, 06:43
Expert Reply
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