SOLUTION: Could someone please show me how to divide this fraction so that I am able to use it as an example to finish the rest of my homework. Problem {{{(6p-18)/9p}}} / {{{(3p-9)/p^2+2p}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Could someone please show me how to divide this fraction so that I am able to use it as an example to finish the rest of my homework. Problem {{{(6p-18)/9p}}} / {{{(3p-9)/p^2+2p}      Log On


   

Question 92845: Could someone please show me how to divide this fraction so that I am able to use it as an example to finish the rest of my homework.
Problem %286p-18%29%2F9p / %283p-9%29%2Fp%5E2%2B2p
This is as far as I can get
%286p-18%29%2F9p*%28p%5E2%2B2p%29%2F%283p-9%29
after that i am unable to get any further.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%286p-18%29%2F%289p%29%29%2A%28%28p%5E2%2B2p%29%2F%283p-9%29%29 Start with the given expression


%28%286%28p-3%29%29%2F%289p%29%29%2A%28%28p%5E2%2B2p%29%2F%283p-9%29%29 Factor 6p-18 to get 6%28p-3%29 (note: if you need help with factoring, check out this solver)


%28%286%28p-3%29%29%2F%289p%29%29%2A%28%28p%28p%2B2%29%29%2F%283p-9%29%29 Factor p%5E2%2B2p to get p%28p%2B2%29

%28%286%28p-3%29%29%2F%289p%29%29%2A%28%28p%28p%2B2%29%29%2F%283%28p-3%29%29%29 Factor 3p-9 to get 3%28p-3%29

Divide and cancel out like terms


%286%28p%2B2%29%29%2F%289%2A3%29%29 Simplify

%286%28p%2B2%29%29%2F27%29 Multiply


%282%28p%2B2%29%29%2F9%29 Reduce 6%2F27 to 2%2F9



%282p%2B4%29%2F9%29 Distribute