please help!The numerator of a fraction is 5 times the denominator. If 3 is subtracted from the numerator, and added to the denominator, the resulting fraction is equal to 17/4. Find the original fraction.

Question

raden · Answer

let the original fraction is 5x/x
according information above, we have 
(5x-3)/(x+3) = 17/4
solve for x

raden · Answer

cross multiply :)

anonymous · Answer

so x=-4?

raden · Answer

wrong!

(5x-3)/(x+3) = 17/4
do cross multiply, we get 
4(5x-3) = 17(x+3)
then open the parenthesis by using the distributive property, we get
20x - 12 = 17x + 51

that should be easier for you now

anonymous · Answer

x=21 but then what is the original fraction?

raden · Answer

yeah,  x = 21
the original fraction is 5x/x
just subtitute x = 21, what do you get ?

anonymous · Answer

105/21?