Question 206534: Simplify each complex fraction. Reduce each answer to lowest terms.
1/9+1/3x and all of this is over x/9-1/x
Answer by profemmanuel2q@yahoo.com(15)   (Show Source):
You can put this solution on YOUR website! 1/9+1/3x and all of this is over x/9-1/x
When you are solving this, it is so easy but you need to think
First of all take both 1/9+1/3x and x/9-1/x,
Simplify 1/9+1/3x by finding the LCM, that is , 9x
So we have (x + 3)/9x
The second thing that you will do is that, solve x/9-1/x by finding the LCM and the LCM is 9x, so we have (x^2 - 9)/ 9x.
Therefore (x + 3)/9x divided by (x^2 - 9)/ 9x
When you solve it 9x of the numerator will cancell the 9x of the denominator
So we will get (x + 3)/(x^2 - 9).
Factorise (x^2 - 9) so will get (x +3)(x -3)
So we have (x + 3)/(x +3)(x -3), Cancel each side by (x +3)
Hence, the final answer is 1/ (x - 3).
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