SOLUTION: The numerator of a certain fraction is 3 less than the denominator. If the numerator is tripled and the denominator is increased by 7, the value of the resulting fraction is 3/2. W

Algebra ->  Test -> SOLUTION: The numerator of a certain fraction is 3 less than the denominator. If the numerator is tripled and the denominator is increased by 7, the value of the resulting fraction is 3/2. W      Log On


   

Question 344008: The numerator of a certain fraction is 3 less than the denominator. If the numerator is tripled and the denominator is increased by 7, the value of the resulting fraction is 3/2. What is the original fraction?
Found 2 solutions by Fombitz, solver91311:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%28D-3%29%2FD
.
.
.
%283%28D-3%29%29%2F%28D%2B7%29=3%2F2
3%28D-3%29=%283%2F2%29%28D%2B7%29
6%28D-3%29=3%28D%2B7%29
6D-18=3D%2B21
3D=39
D=13
D-3=10
The original fraction was highlight%2810%2F13%29.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the denominator of the original fraction. Then the original fraction must be . And the modified fraction must be . So we can write:



Divide both sides by 3, cross-multiply, collect like terms, and solve for .

John

My calculator said it, I believe it, that settles it