SOLUTION: I think I'm doing this right, but I want to make sure. The instructions are: Simplify the complex fraction and reduce each answer to lowest terms. ab+b^2 ----------

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Simplify the complex fraction and reduce each answer to lowest terms.
[(ab+b^2) /(4ab^5)] / [(a+b)/ 6a^2(b^4)]
Factor:

= [b(a+b)/4ab^5] / [(a+b)/(6a^2b^4)]
Cancel (a+b), b to get:
= [1/4ab^4]/[1/6a^2b^4]
Cancel 2,a,b^4 to get:
= [1/2] / [1/3a^2]
Invert the denominator and multiply:
= (3/2)a^2
============================================
[b(a+b)/4a(b)(b^4)] / [(a+b)/6a^2(b^4)]
Cancel (a+b), b, and b^4 to get:
= [1/4a] / [1/6a^2]
= [3a/2]
================================

[4a/6a^2]
=[2/3a]


=================
4a
----------- = (2/3a^2)
6a^2
===========================
Cheers,
Stan H.