SOLUTION: What number must be subtracted from each of the terms of the fraction 13/22 and 17/32 so that the resulting fraction will be equal?

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Question 956296: What number must be subtracted from each of the terms of the fraction 13/22 and 17/32 so that the resulting fraction will be equal?
Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
What number must be subtracted from each of the terms of the fraction 13/22 and 17/32 so that the resulting fraction will be equal?
Let x=the number that needs to be subtracted from each term of the fractions so the resulting fractions will be equal.
Soooo:
(13-x)/(22-x)=(17-x)/(32-x) We can cross-multiply
(13-x)(32-x)=(17-x)(22-x) expand using the FOIL (First,Outer, Inner, Last)method
416-13x-32x+x^2=374-17x-22x+x^2
416-45x+x^2=374-39x+x^2 collect like terms
6x=42
x=7
CK
(13-7)/(22-7)=(17-7)/32-7)
6/15=10/25 or
2/5=2/5
Hope this helps----ptaylor