Question 1106275
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Given {{{ 0<A<B }}}


One way to show A/B < B/A is to compare both fractions to the number 1

Clearly A/B < 1   because  {{{ A<B }}},   
and  1 < B/A        also because {{{ A<B }}} 

so    A/B < 1 < B/A  ==>  <b>A/B < B/A</b>