SOLUTION: I need some help. Can someone help me, please? f+8/f-1 divided by 6f+48/f-2

Algebra ->  Rational-functions -> SOLUTION: I need some help. Can someone help me, please? f+8/f-1 divided by 6f+48/f-2      Log On


   

Question 127403: I need some help. Can someone help me, please?
f+8/f-1 divided by 6f+48/f-2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28f%2B8%29%2F%28f-1%29%29%2F%28%286f%2B48%29%2F%28f-2%29%29 Start with the given expression

%28%28f%2B8%29%2F%28f-1%29%29%2A%28%28f-2%29%2F%286f%2B48%29%29 Multiply the first fraction by the reciprocal of the second fraction



%28%28f%2B8%29%2F%28f-1%29%29%28%28f-2%29%2F%286%28f%2B8%29%29%29 Factor 6f%2B48 to get 6%28f%2B8%29


%28f%2B8%29%28f-2%29%2F6%28f-1%29%28f%2B8%29 Combine the fractions


cross%28%28f%2B8%29%29%28f-2%29%2F6%28f-1%29cross%28%28f%2B8%29%29 Cancel like terms


%28f-2%29%2F6%28f-1%29 Simplify




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Answer:

So %28%28f%2B8%29%2F%28f-1%29%29%2F%28%286f%2B48%29%2F%28f-2%29%29 simplifies to %28f-2%29%2F6%28f-1%29


In other words, %28%28f%2B8%29%2F%28f-1%29%29%2F%28%286f%2B48%29%2F%28f-2%29%29=%28f-2%29%2F6%28f-1%29