Question

In a fraction,the product of numerator and denominator is 6 and denominator is 1 more than its numerator.the difference between reciprocal of the fraction and fraction itself is 5/6 .Find the fraction

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Secondary SchoolMath 5 points

A numerator of a fraction is 6 less than the denominator if 3 is added to the numerator the fraction become equal to 2÷3 find the original fraction.

Ask for details Follow Report by Dk971422 24.09.2017

Answers

Let the denominator be x

then, numerator = x-6

according to question ,

=> (x-6)+3/x = 2/3

=> (x-6+3)/x = 2/3

=> (x-3)/x = 2/3

=> 3(x-3) = 2x

=> 3x-9 = 2x

=> 3x-2x = 9

=> x = 9. (denominator)

numerator = x-6 => 9-6 = 3

then , fraction = 3/9

hope this helps