SOLUTION: Please help. How do I do this? Simplify the complex fraction. each of these are underlined except for the last one. w+3 4w w-3 2w

Algebra ->  Expressions -> SOLUTION: Please help. How do I do this? Simplify the complex fraction. each of these are underlined except for the last one. w+3 4w w-3 2w       Log On


   

Question 77754: Please help. How do I do this?
Simplify the complex fraction.
each of these are underlined except for the last one.
w+3
4w
w-3
2w
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Note: For future reference, a "complex" fraction doesn't make it a complex number. A complex number deals with numbers that contain imaginary units.

%28%28w%2B3%29%2F%284w%29%29%2F%28%28w-3%29%2F%282w%29%29 Start with the given expression
%28%28w%2B3%29%2F%284w%29%29%2A%28%282w%29%2F%28w-3%29%29When you divide 2 fractions, you multiply the 1st fraction by the reciprocal of the 2nd fraction

%28%28w%2B3%29%2Fcross%284w%29%29%2A%28cross%282w%29%2F%28w-3%29%29 Notice the terms 2w and 4w cancel to 1%2F2

%28%28w%2B3%29%2F%282%29%29%2A%281%2F%28w-3%29%29

%28w%2B3%29%2F%28%282%29%28w-3%29%29 Now multiply.

%28w%2B3%29%2F%28%282w-6%29%29Distribute. This is your simplified answer