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Number of rational number 0<r<1 such that r is rational number when written as fraction in lowest terms,the numerator and denominator add up to 2014

1)468 2)538 3)586 4)none


4)none is the answer
There will be infinite rational numbers between any 2 numberw

0 0 0
read the question properly,numerator and denominator should add up to 2014 like 1/2013
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