SOLUTION: The numerator of a fraction is 1 less than the denominator.When both numerator and denominator are increased by 2, the fraction is increased by 1/12. find the orignal fraction.
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Question 165928: The numerator of a fraction is 1 less than the denominator.When both numerator and denominator are increased by 2, the fraction is increased by 1/12. find the orignal fraction.
Answer by oscargut(2103) (Show Source): You can put this solution on YOUR website!
fraction is (x-1)/x
fraction with numerator and denominator increased by 2 is (x+1)/(x+2)
the fraction is increased by 1/12
then (x-1)/x + 1/12 = (x+1)/(x+2)
(12(x-1)+x)/12x = (x+1)/(x+2)
(13x-12)/12x = (x+1)/(x+2)
(13x-12)(x+2)=12x(x+1)
13x^2+14x-24=12x^2+12x
x^2+2x-24=0
then
x=-6 or x=4
assuming numerator and denominator possitive
then x=4 and fraction is 3/4
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