Question 1105717
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If {{{ 45/7=a+(1/c)/(1/b) }}}, where a, b, and c are positive integers, and b < c, evaluate the value of abc.
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{{{45/7}}} = 6 + {{{3/7}}} = a + {{{(1/c)/(1/b)}}} = a + {{{b/c}}}.


Since "b" and "c" are positive integers with b < c, you can conclude that {{{b/c}}} < 1.

Hence,  a = 6.


But for "b" and "c" you have INFINITELY MANY answers (b,c) = (3,7),  (6,14),  (9,21) . . . and so on . . . 


Therefore, <U>IT IS NOT POSSIBLE</U> to evaluate the value of abc by an UNIQUE way.


Your problem is posed <U>INCORRECTLY</U>.
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