SOLUTION: divide the following fractions {{{((6p-18))/(9p)}}} ----------- {{{((3p-q))/((p^2+ 2p))}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: divide the following fractions {{{((6p-18))/(9p)}}} ----------- {{{((3p-q))/((p^2+ 2p))}}}      Log On


   

Question 82965: divide the following fractions
%28%286p-18%29%29%2F%289p%29
------------
%28%283p-q%29%29%2F%28%28p%5E2%2B+2p%29%29
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Divide the following fractions:
:
%28%286p-18%29%29%2F%289p%29
------------
%28%283p-q%29%29%2F%28%28p%5E2%2B+2p%29%29
:
remember when you divide fractions, "Invert the dividing fraction and multiply".
%28%286p-18%29%29%2F%289p%29 * %28%28p%5E2+%2B+2p%29%29%2F%28%283p+-+q%29%29
:
Factor
%286%28p-3%29%29%2F%289p%29 * %28p%28p+%2B+2%29%29%2F%28%283p+-+q%29%29
:
Cancel 3 into 6 and 9 and p:
%282%28p-3%29%29%2F3 * %28%28p+%2B+2%29%29%2F%28%283p+-+q%29%29 = %282%28p-3%29%28p%2B2%29%29%2F%283%283p-q%29%29; about all you can do with it