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

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Question 75428: Simplify the complex fractions
w+3
---
4w
---
w-3
---
2w
Found 2 solutions by tutorcecilia, funmath:
Answer by tutorcecilia(2144) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28%28w%2B3%29%2F4w%29%2F%28%28w-3%29%2F2w%29%29 [To solve, flip the denumerator and multiply the fractions]
.
%28+%28%28w%2B3%29%2F4w%29%29%28%282w%29%2F%28w-3%29%29 [cancel wherever possible]
.
%28+%28%28w%2B3%29%2F2%29%29%28%281%29%2F%28w-3%29%29
.
%28+%28w%2B3%29%2F%282w-6%29%29%29[multiply straight across]

Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify the complex fractions
w+3
---
4w
---
w-3
---
2w
There are two methods to do this. You can realize that this is the top fraction divided by the bottom.
%28w%2B3%29%2F4w divided by %28w-3%29%2F2w
Flip the second fraction over and multiply:
%28%28w%2B3%29%2F4w%29%2A%282w%2F%28w-3%29%29
%28%28w%2B3%29%2F%282%282w%29%29%29%2A%282w%2F%28w-3%29%29
%28%28w%2B3%29%2F%282%2Across%28%282w%29%29%29%29%2A%28cross%28%282w%29%29%2F%28w-3%29%29
highlight%28%28w%2B3%29%2F%282%28w-3%29%29%29
:
The second method involves multiplying the top and bottom by the LCD of both fractions, 4w:
%284w%2F1%29%28%28w%2B3%29%2F4w%29%2F%28%284w%2F1%29%28%28w-3%29%2F2w%29%29
%284w%2F1%29%28%28w%2B3%29%2F4w%29%2F%28%282%2A2w%2F1%29%28%28w-3%29%2F2w%29%29
%28cross%284w%29%2F1%29%28%28w%2B3%29%2Fcross%284w%29%29%2F%28%282%2Across%28%282w%29%29%2F1%29%28%28w-3%29%2Fcross%282w%29%29%29
%281%2F1%29%28%28w%2B3%29%2F1%29%2F%28%282%2F1%29%28%28w-3%29%2F1%29%29
highlight%28%28w%2B3%29%2F%282%28w-3%29%29%29
Pick your favorite method.
Happy Calculating!!!!