SOLUTION: I need some help to simplify this equation. {{{3/(x-5)+1)}}}/{{{1-(4/(x-5))}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need some help to simplify this equation. {{{3/(x-5)+1)}}}/{{{1-(4/(x-5))}}}      Log On


   

Question 103892: I need some help to simplify this equation.
3%2F%28x-5%29%2B1%29/1-%284%2F%28x-5%29%29
Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
%283%2F%28x-5%29%2B1%29%2F%281-%284%2F%28x-5%29%29%29
First lets go ahead and add each part;
3%2F%28x-5%29%2B1
we need common denominators to add, so we multiply x-5 to the second fraction ;
3%2F%28x-5%29%2B%28x-5%29%2F%28x-5%29
%28x-2%29%2F%28x-5%29=numerator
1-%284%2F%28x-5%29%29
We need common denominators;
%28x-5%29%2F%28x-5%29-4%2F%28x-5%29
%28x-9%29%2F%28x-5%29= denominator
Now our equation is;
%28%28x-2%29%2F%28x-5%29%29%2F%28%28x-9%29%2F%28x-5%29%29
When you divide fractions remember, you multiply the reciprocal;
%28%28x-2%29%2F%28x-5%29%29%2A%28%28x-5%29%2F%28x-9%29%29
Now cross cancel;
%28%28x-2%29%2Fcross%28x-5%29%29%2A%28cross%28x-5%29%2F%28x-9%29%29=%28x-2%29%2F%28x-9%29
:)