SOLUTION: Perform indicated operations and simplify: 5/3x - 2/9 + 4/x (5 over 3x minus 2 over 9 plus 4 over x) I am lost on this. Thank you so much

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Perform indicated operations and simplify: 5/3x - 2/9 + 4/x (5 over 3x minus 2 over 9 plus 4 over x) I am lost on this. Thank you so much       Log On


   

Question 1039149: Perform indicated operations and simplify:
5/3x - 2/9 + 4/x
(5 over 3x minus 2 over 9 plus 4 over x)

I am lost on this.
Thank you so much
Answer by gsmani_iyer(201) About Me  (Show Source):
You can put this solution on YOUR website!
%285%29%2F%283x%29+-+%282%29%2F%289%29+%2B+%284%29%2F%28x%29
The LCM of the denominators is 9x. Now the denominator of the answer is 9x.
Now we will multiply all the numerators by the LCM i.e 9x

%285%2A9x%29%2F%283x%29+-+%282%2A9x%29%2F%289%29+%2B+%284%2A9x%29%2F%28x%29
=
= Now take the LCM as denominator.
= %2815+-+2x+%2B+36%29%2F9x+=+%2851+-+2x%29%2F%289x%29
= %2851%2F9x%29-%282x%2F9x%29
= %28cross%2851%2917%2Fcross%289x%293x%29-%28cross%282x%292%2Fcross%289x%299%29%29
So the answer is 17%2F%283x%29+-+2%2F9 I hope you understood the steps. Feel free to contact me at gsmani9@yahoo.com