# SOLUTION: The denominator of a fraction is 9 more than the numerator. If the numerator is decrease by 3 and the denominator is increased by 3, the value of the resulting fraction is 1/4. Wha

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 Click here to see ALL problems on Numbers Word Problems Question 391911: The denominator of a fraction is 9 more than the numerator. If the numerator is decrease by 3 and the denominator is increased by 3, the value of the resulting fraction is 1/4. What is the original fraction?Found 2 solutions by robertb, mananth:Answer by robertb(4012)   (Show Source): You can put this solution on YOUR website! ---> ==> 2n+6 = n+11, after cross-multiplication. ==> n = 5. The original fraction is 5/13. Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!The denominator of a fraction is 9 more than the numerator. If the numerator is decrease by 3 and the denominator is increased by 3, the value of the resulting fraction is 1/4. What is the original fraction? numerator =x denominator = x+9 ... fraction = ... cross multiply 4(x-3)=(x+12) 4x-12=x+12 add 12 4x=x+12+12 4x=x+24 add -x 4x-x=24 3x=24 /3 x=8 the numerator x+9= 17 the denominator .. The fraction is ... m.ananth@hotmail.ca