Mathematics
posted by JP on .
The numerator of a fraction is two less than its denominator. When both numerator and denominator are increased by 3, the fraction is increased by 3/20. Find the original fraction. Explain your solution

Let the original fraction be x/(x+2)
(x+3)/(x+5) = x/(x+2) + 0.15
Solve for x. Try x = 3,
6/8 = 3/5 + 0.15 It works!
So the original fraction is 3/5.