x + 2 - (12 / x + 3) / x - 5 + (16 / x + 3)

Would the LCD be x(x + 3)? If so, I just multiply the numerator and denominator of this complex fraction by x(x + 3) to find the answer, correct?

Thanks again!

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- Apr 12th 2009, 06:43 PMHapaWhat is the LCD for this complex fraction?
x + 2 - (12 / x + 3) / x - 5 + (16 / x + 3)

Would the LCD be x(x + 3)? If so, I just multiply the numerator and denominator of this complex fraction by x(x + 3) to find the answer, correct?

Thanks again! - Apr 12th 2009, 06:50 PMmollymcf2009
- Apr 12th 2009, 06:55 PMHapa
Molly,

Your first interpretation is correct. My apologies for the confusion. - Apr 12th 2009, 07:06 PMProve It
Are you trying to simplify this? Or are you just finding an LCM?

- Apr 12th 2009, 07:07 PMmollymcf2009
No problem, it happens all the time. Ok, the first thing you should do is get a LCD in the top and bottom of the larger fraction:

$\displaystyle

\frac{x + 2 - (\frac{12}{x+3})}{x - 5 + (\frac{16}{x+3})}$

The LCD in both the top and bottom will be (x+3). Think of the non-fraction numbers as $\displaystyle \frac{number}{1}$, this will help you see how to evaluate their LCD

So you will have a fraction over a fraction, with LCD both (x+3). Then, just multiply the top by the reciprocal of the bottom to get rid of the big fraction. This will leave you with a new fraction, which you can multiply out giving you your final LCD

Good luck! (Wink) - Apr 12th 2009, 07:08 PMHapa
I am trying to simplify this complex fraction.

- Apr 12th 2009, 07:08 PMProve It
- Apr 13th 2009, 04:23 AMstapel
To learn the methodology, try studying one or two online lessons covering

**how to simplify complex fractions**. Make sure you can follow the worked examples. :D