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SBT Fraction


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#1 BMAD

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Posted 14 March 2014 - 05:30 PM

There are two fractions, 34/55 and 55/89. We are looking for a third fraction of positive integers a/b, where 34/55>a/b>55/89 and 55<b<89. What is the smallest b where this is possible?


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#2 k-man

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Posted 14 March 2014 - 07:46 PM

Spoiler for with a little help from excel...


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#3 BMAD

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Posted 14 March 2014 - 08:24 PM

Spoiler for with a little help from excel...

Could you form a generalization as to why?  the title is a hint at this,


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