SOLUTION: Simplify the following complex fraction (y+2)/3y divided by y-(4/y) I get I have to flip the second fraction and multiply but I'm not exactly sure if I only have to flip the (4/y

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Simplify the following complex fraction (y+2)/3y divided by y-(4/y) I get I have to flip the second fraction and multiply but I'm not exactly sure if I only have to flip the (4/y      Log On


   

Question 1055692: Simplify the following complex fraction
(y+2)/3y divided by y-(4/y)
I get I have to flip the second fraction and multiply but I'm not exactly sure if I only have to flip the (4/y) to (y/4) but then what do I do with the y that it's subtracted from?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28y%2B2%29%2F3y%29%2F%28y-%284%2Fy%29%29

See common denominator to be 3y, and multiply entire rational expression, complex, as (3y)/(3y)=1.

%28%28%28y%2B2%29%2F%283y%29%29%2F%28y-4%2Fy%29%29%28%283y%29%2F%283y%29%29

highlight%28%28y%2B2%29%2F%283y%5E2-12%29%29


Another way, from beginning, first try to simplify the denominator.
%28%28y%2B2%29%2F%283y%29%29%2F%28%28y%5E2-4%29%2Fy%29

Now multiply by %28%283y%29%2F%283y%29%29.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Simplify the following complex fraction
(y+2)/3y divided by y-(4/y)
I get I have to flip the second fraction and multiply but I'm not exactly sure if I only have to flip the (4/y) to (y/4) but then what do I do with the y that it's subtracted from?
%28y+%2B+2%29%2F%283y%29%22%F7%22y+-+4%2Fy

%28y+%2B+2%29%2F%283y%29%22%F7%22%28y%5E2+-+4%29%2Fy ------ Multiplying right fraction by LCD, y

%28y+%2B+2%29%2F%283y%29%22%F7%22%28y+-+2%29%28y+%2B+2%29%2Fy ------- Factoring y%5E2+-+4

%28y+%2B+2%29%2F%283y%29%22%2A%22y%2F%28y+-+2%29%28y+%2B+2%29 ------ Applying KEEP, CHANGE, FLIP

cross%28%28y+%2B+2%29%29%2F%283cross%28y%29%29%22%2A%22cross%28y%29%2F%28y+-+2%29cross%28%28y+%2B+2%29%29 =====> highlight_green%28matrix%281%2C3%2C+1%2F3%28y+-+2%29%2C+or%2C+1%2F%283y+-+6%29%29%29