SOLUTION: w+3/4w/w-3/2w i need this simplified

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: w+3/4w/w-3/2w i need this simplified      Log On


   

Question 112956: w+3/4w/w-3/2w i need this simplified
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28w%2B%283%2F4%29w%29%2F%28w-%283%2F2%29w%29 Start with the given expression


%28%284%2F4%29w%2B%283%2F4%29w%29%2F%28w-%283%2F2%29w%29 Rewrite the first w as %284%2F4%29w



%28%284%2F4%29w%2B%283%2F4%29w%29%2F%28%282%2F2%29w-%283%2F2%29w%29 Rewrite the second w as %282%2F2%29w


%28%28%284%2B3%29%2F4%29w%29%2F%28%282%2F2%29w-%283%2F2%29w%29 Combine the terms %284%2F4%29w%2B%283%2F4%29w to get %284%2B3%29%2F4%29w


%28%287%2F4%29w%29%2F%28%282%2F2%29w-%283%2F2%29w%29 Add


%28%287%2F4%29w%29%2F%28%28%282-3%29%2F2%29w%29 Combine the terms %282%2F2%29w-%283%2F2%29w to get %28%282-3%29%2F2%29w


%28%287%2F4%29w%29%2F%28%28-1%2F2%29w%29 Subtract



%287w%2F4%29%2F%28-w%2F2%29 Multiply


%287w%2F4%29%2A%28-2%2Fw%29 Multiply by the reciprocal


%287%2Across%28w%29%2F4%29%2A%28-2%2Fcross%28w%29%29 Cancel like terms


-7%2F2 Simplify


So %28w%2B%283%2F4%29w%29%2F%28w-%283%2F2%29w%29=-7%2F2