SOLUTION: Please help me solve this complex fraction. (2/x) _____________ 1 - (1 / y)

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: Please help me solve this complex fraction. (2/x) _____________ 1 - (1 / y)      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 73280This question is from textbook
: Please help me solve this complex fraction.
(2/x)
_____________
1 - (1 / y)This question is from textbook

Answer by ptaylor(1894) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify %282%2Fx%29%2F%281-%281%2Fy%29%29
First, we will deal with the denmominator, 1-%281%2Fy%29
Lets multiply each term by y%2Fy
1%28y%2Fy%29-%281%2Fy%29%28y%2Fy%29 simplifying, we get
%28y-1%29%2Fy
Now we will put the numerator and denominator back together and we have:
%282%2Fx%29%2F%28%28y-1%29%2Fy%29 Next we will multiply numerator and denominator by y%2F%28y-1%29
%28%282%2Fx%29%28y%2F%28y-1%29%29%2F%28%28y-1%29%2Fy%29%28y%2F%28y-1%29%29%29 Simplifying we get:
%282y%2Fx%28y-1%29%29%2F1 and this equals:
2y%2F%28x%28y-1%29%29

Hope this helps------ptaylor