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

darkprince14 · Answer

Let x represent the denominator... Then do your work from there...

anonymous · Answer

idont know how thats why im asking

darkprince14 · Answer

oh.. so the original fraction would be 5x/ x since the numerator 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.
$$\frac{ 5x-3 }{ x+3 } = \frac{ 17 }{ 4 }$$
Cross Multiplication
$$4(5x -3) = 17(x+3)$$
Simplify..
Can you do this from here and find x??

darkprince14 · Answer

@fenton24

anonymous · Answer

well x= 21 but im looking for the original fraction, so it still doenst solve it

darkprince14 · Answer

If you look at the original fraction with the x part.. It looks like this$$\frac{ 5x }{ x }$$in fractions, if you have a similar factor in the numerator and the denominator, you may cancel it because it is equal to 1.$$\frac{ 5x }{ x } = 5$$Then the fraction will become 5