SOLUTION: subtract, simplify if possible 6-w/w-9 - 9w-7/9-w these are 2 separate fractions; 6-w on top and w-9 on the bottom, same with the other one

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: subtract, simplify if possible 6-w/w-9 - 9w-7/9-w these are 2 separate fractions; 6-w on top and w-9 on the bottom, same with the other one      Log On


   



Question 475010: subtract, simplify if possible
6-w/w-9 - 9w-7/9-w
these are 2 separate fractions; 6-w on top and w-9 on the bottom, same with the other one

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
Per your reply: see highlighted, this type of operation is commonly done
to achieve common denominators when it is appropriate to do so.
Note: using parenthesis clarifys:
(6-w)/(w-9) - (9w-7)/(9-w) |Note: highlight%28%289-w%29+=+-%28w-9%29%29
%286-w%29%2F%28w-9%29++-++%289w-7%29%2F%28-%28w-9%29%29
%286-w%29%2F%28w-9%29++%2B++%289w-7%29%2F%28w-9%29++=+%288w-1%29%2F%28w-9%29