SOLUTION: simplify the complex fraction. reduce to lowest terms. 4ab^5/a+b/6a^2b^4 Please help!!

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Question 148749: simplify the complex fraction. reduce to lowest terms.
4ab^5/a+b/6a^2b^4
Please help!!
Answer by jim_thompson5910(28705) About Me  (Show Source):
You can put this solution on YOUR website!
%284ab%5E5%29%2F%28a%2Bb%2F%286a%5E2b%5E4%29%29 Start with the given expression.


Multiply every term by the LCD 6a%5E2b%5E4 to clear the inner denominator.





%2824a%5E3b%5E9%29%2F%286a%5E3b%5E4%2Bb%29%29 Multiply and simplify.


%2824a%5E3b%5E9%29%2F%28b%286a%5E3b%5E3%2B1%29%29%29 Factor out a "b" from the denominator.


%2824a%5E3b%5E8%29%2F%286a%5E3b%5E3%2B1%29%29 Divide.