SOLUTION: I need a little help on this one. Add and simplify {{{(25f)/(5f-25)+(4f)/(25f-125)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need a little help on this one. Add and simplify {{{(25f)/(5f-25)+(4f)/(25f-125)}}}      Log On


   

Question 154364: I need a little help on this one.
Add and simplify
%2825f%29%2F%285f-25%29%2B%284f%29%2F%2825f-125%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%2825f%29%2F%285f-25%29%2B%284f%29%2F%2825f-125%29 Start with the given expression



%2825f%29%2F%285%28f-5%29%29%2B%284f%29%2F%2825f-125%29 Factor the first denominator


%2825f%29%2F%285%28f-5%29%29%2B%284f%29%2F%2825%28f-5%29%29 Factor the second denominator


%285%2F5%29%28%2825f%29%2F%285%28f-5%29%29%29%2B%284f%29%2F%2825%28f-5%29%29 Multiply the first fraction by 5%2F5


%28125f%29%2F%2825%28f-5%29%29%2B%284f%29%2F%2825%28f-5%29%29 Combine and multiply the fractions.


%28125f%2B4f%29%2F%2825%28f-5%29%29 Add the fractions. This is now possible since the denominators are equal.


So %2825f%29%2F%285f-25%29%2B%284f%29%2F%2825f-125%29=%28125f%2B4f%29%2F%2825%28f-5%29%29 where f%3C%3E5