SOLUTION: The numerator of a fraction is 5 less than 3 times its denominator. If 2 and 4 are added to the numerator and denominator respectively the new fraction is equivalent to 5/6. Find t

Algebra ->  Equations -> SOLUTION: The numerator of a fraction is 5 less than 3 times its denominator. If 2 and 4 are added to the numerator and denominator respectively the new fraction is equivalent to 5/6. Find t      Log On


   

Question 825863: The numerator of a fraction is 5 less than 3 times its denominator. If 2 and 4 are added to the numerator and denominator respectively the new fraction is equivalent to 5/6. Find the original fraction
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The numerator of a fraction is 5 less than 3 times its denominator.
If 2 and 4 are added to the numerator and denominator respectively the new fraction is equivalent to 5/6.
%28n%2B2%29%2F%28d%2B4%29 = 5%2F6
cross multiply
6(n+2) = 5(d+4)
6n + 12 = 5d + 20
6n = 5d + 20 - 12
6n = 5d + 8
It says,"The numerator of a fraction is 5 less than 3 times its denominator. "
I can't get it to work in this statement, Find the integer solution using
n = %285d%2B8%29%2F6
let d = 2
n = %2810%2B8%29%2F6
n = 3
Original fraction 3%2F2