SOLUTION: Simplify the complex fraction w+3 ------ 4w ----- w-3 ----- 2w

Question 97287: Simplify the complex fraction
w+3
------
4w
-----
w-3
-----
2w
Found 2 solutions by stanbon, ptaylor:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Simplify the complex fraction
[(w+3)/4w] / [(w-3)/2w]
Invert the denominator and multiply:
[(w+3)/4w] * [2w/(w-3)]
Cancel the 2w factor common to numerator and denominator to get:
= [(w+3)/2(w-3)]
=============
Cheers,
Stan H.

Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
This problem represents one fraction being divided by another fraction. In other words, we have the general form:
where is the numerator and is the denominator and in this problem:
a=w+3
b=4w
c=w-3
d=2w
Now we will simplify and then substitute the values for a,b,c & d:
We can simplify this complex fraction by making the denominator equal to 1. we do this by multiplying both the numerator and denominator by and we get:
and this gives us:
or now substituting for a,b,c&d, we get:
and this reduces to:

Hope this helps-----ptaylor

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