SOLUTION: Please help me out! The directions just say simplify each sum. ((5y+2)/(xy^2))+((2x-4)/(4xy)) Please help I thought that fractions with denominators that didn't match couldn' be

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me out! The directions just say simplify each sum. ((5y+2)/(xy^2))+((2x-4)/(4xy)) Please help I thought that fractions with denominators that didn't match couldn' be      Log On


   

Question 456469: Please help me out!
The directions just say simplify each sum.
((5y+2)/(xy^2))+((2x-4)/(4xy))
Please help I thought that fractions with denominators that didn't match couldn' be added but apparently they can be. Thanks
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
simplify each sum.
%28%285y%2B2%29%2F%28xy%5E2%29%29%2B%28%282x-4%29%2F%284xy%29%29
:
You can see that the common denominator would be 4xy^2, both denominators are contained in the factors of 4xy^2, so you have:
:
%284%285y%2B2%29%2B+y%282x-4%29%29%2F%284xy%5E2%29%29 = %2820y%2B8%2B2xy-4y%29%2F%284xy%5E2%29%29 = %288%2B2xy%2B16y%29%2F%284xy%5E2%29%29
Factor out 2
2%284%2Bxy%2B8y%29%2F%284xy%5E2%29%29
Cancel the 2 into the 4, we are left with:
%28xy%2B8y%2B4%29%2F%282xy%5E2%29%29