SOLUTION: The question is -5w/9w-27+ 10-2w/3w^2-27 Adding fraction!! Thank You in advance!!!

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: The question is -5w/9w-27+ 10-2w/3w^2-27 Adding fraction!! Thank You in advance!!!       Log On


   

Question 920358: The question is -5w/9w-27+ 10-2w/3w^2-27
Adding fraction!!
Thank You in advance!!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First factor each denominator as much as possible. This is to help us find the LCD.

Turns out the LCD is 9%28w-3%29%28w%2B3%29 and you find this out through factoring.

Once you have identified the LCD, you try to make every fraction have their denominator equal to the LCD.

After each denominator is the same, you can finally combine the fractions. In this case, we're adding the fractions.

--------------------------------------------------------------------------------

%28-5w%29%2F%289w-27%29+%2B+%2810-2w%29%2F%283w%5E2-27%29


%28-5w%29%2F%289%28w-3%29%29+%2B+%2810-2w%29%2F%283w%5E2-27%29


%28-5w%29%2F%289%28w-3%29%29+%2B+%2810-2w%29%2F%283%28w%5E2-9%29%29


%28-5w%29%2F%289%28w-3%29%29+%2B+%2810-2w%29%2F%283%28w-3%29%28w%2B3%29%29


Multiply top and bottom of the first fraction by w%2B3


Multiply top and bottom of the second fraction by 3


The denominators are both the same now. We can add the fractions.


%28-5w%28w%2B3%29%2B3%2A%2810-2w%29%29%2F%289%28w-3%29%28w%2B3%29%29


%28-5w%5E2-15w%2B30-6w%29%2F%289%28w-3%29%28w%2B3%29%29


%28-5w%5E2-21w%2B30%29%2F%289%28w-3%29%28w%2B3%29%29


=======================================================

So %28-5w%29%2F%289w-27%29+%2B+%2810-2w%29%2F%283w%5E2-27%29 simplifies to %28-5w%5E2-21w%2B30%29%2F%289%28w-3%29%28w%2B3%29%29


Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at jim_thompson5910@hotmail.com
or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html

Thanks,

Jim