SOLUTION: 2p+18q divided by 9p-63q (all divided by) 10p+90q divided 8p-56q

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Question 167944: 2p+18q divided by 9p-63q (all divided by) 10p+90q divided 8p-56q
Answer by Edwin McCravy(20054) About Me  (Show Source):
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2p+18q divided by 9p-63q (all divided by) 10p+90q divided 8p-56q



Invert the second fraction and change the division to multiplication:



Factor out the greatest common divisor in all numerators
and denominators:



Indicate the multiplication of the numerators and denominators:

%282%28p%2B9q%298%28p-7q%29%29%2F++%289%28p-7q%2910%28p%2B9q%29+%29

Cancel the %28p%2B9q%29's:

%282cross%28%28p%2B9q%29%298%28p-7q%29%29%2F++%289%28p-7q%2910cross%28%28p%2B9q%29%29+%29

Cancel the %28p-7q%29's:



All that's left is

%282%2A8%29%2F%289%2A10%29

Cancel the 2 into the 10 and get 5:

%28cross%282%29%2A8%29%2F%289%2Across%2810%29%29
   5

8%2F%289%2A5%29

8%2F45

Edwin