## anonymous 3 years ago (3/x)+[13/(x-11)]

1. anonymous

I got -28 for the answer but didn't know if it was right

2. tkhunny

?? Is there a value for x?

3. anonymous

no just to simplify.

4. anonymous

its 3 over x + 13 over x-11 and I am just supposed to simplify.

5. anonymous

given $\frac{ 3 }{ x } + \frac{13}{x-11}$ we can multiply any term by 1, right? We want a common denominator, so try multiplying each term by a version of 1... $\frac{x-11}{x-11}$ and $\frac{x}{x}$ respectively to see what happens.

6. anonymous

I did that and after everything i got -28

7. anonymous

If you don't have a value for x your answer should still include x. When you multiplied (x-11)/(x-11) and x/x what did you end up with?

8. anonymous

3x-33 over x^2-11x + 13x over x^2-11x

9. anonymous

would that be it or could i simplify more.

10. anonymous

Perfect. Now that you have a common denominator, you can combine your two fractions into one, combining like terms in your numerator: [(3x-33)+13x]/(x^2-11x)

11. anonymous

oh okay, so in the end it would be 16x-33 over x^2-11x?

12. anonymous

exactly! That's as simple as you can get. :) Good work

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