SOLUTION: I am seriously struggling with multiplying and dividing rational expressions. My home work says to simplify each problem the problem states x ^2/4 times (xy/6)^-1 times 2y^2/x

Algebra ->  Rational-functions -> SOLUTION: I am seriously struggling with multiplying and dividing rational expressions. My home work says to simplify each problem the problem states x ^2/4 times (xy/6)^-1 times 2y^2/x      Log On


   

Question 800836: I am seriously struggling with multiplying and dividing rational expressions. My home work says to simplify each problem the problem states x ^2/4 times (xy/6)^-1 times 2y^2/x while doing my homework my teacher supplies the students with an answer sheet on the answer sheet it says the answer is 3y. Although I have the correct answer there is no explanation an I really need to understand this because I have a quiz on Monday and today is saturday. I understand that your busy but may you help me out with this I cannot afford to fail this quiz. Thanks in advance

Answer by josgarithmetic(39627) About Me  (Show Source):
You can put this solution on YOUR website!
"x ^2/4 times (xy/6)^-1 times 2y^2/x "

%28%28x%5E2%29%2F4%29%28%28%28xy%29%2F6%29%5E-1%29%28%282y%5E2%29%2Fx%29
%28x%5E2%2F4%29%286%2F%28xy%29%29%282y%5E2%2Fx%29
%286%2A2%2Ax%5E2%2Ay%5E2%29%2F%284x%5E2y%29
See which factors are cancellable...
%282%2A3%2A2%2Ax%2Ax%2Ay%2Ay%29%2F%282%2A2%2Ax%2Ax%2Ay%29

highlight%283y%29