SOLUTION: the numerator of a fraction is one less than its denominator .if three is added to each of the numerator & denominator, the fraction is increased by 3/28. find its fraction

Question 1094843: the numerator of a fraction is one less than its denominator .if three is added to each of the numerator & denominator, the fraction is increased by 3/28. find its fraction
Answer by Edwin McCravy(20064) (Show Source): You can put this solution on YOUR website!
the numerator of a fraction is one less than its denominator .

Denominator = D
Numerator = D-1
Original Fraction =

if three is added to each of the numerator & denominator,

New fraction =  or

the fraction is increased by 3/28.

So also, New fraction = Original fraction +  or  

So we set the two expressions for the New fraction equal:



LCD = 28D(D+3)



Solve that and get D=4 and D=-7

Only the positive answer works.  Fraction = 3/4

Edwin

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