SOLUTION: What number subtracted from the numerator and denominator of 151/181 will make it equivalent to 3/4?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: What number subtracted from the numerator and denominator of 151/181 will make it equivalent to 3/4?       Log On


   

Question 747148: What number subtracted from the numerator and denominator of 151/181 will make it equivalent to 3/4?
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
the setup is direct:
%0D%0A%28151-x++%29%2F%28+181-x+%29=3%2F4%0D%0A
Now we'll solve as a proportion:

%0D%0A4%28151-x++%29=3%28+181-x+%29%0D%0A

%0D%0A4%28151%29-4x++=3%28+181%29-3x%0D%0A

%0D%0A4%28151%29-3%28+181%29+=4x+-3x%0D%0A

which simplifies to x=61

:)