LCD Question

May 2010
22
0
I am trying to figure out how to find the lowest common denominator when the denominator has addition in it. I would really like to see this one worked out. Here is the problem, and the answer the book gave:

(5/(2x+4)) + (3/(x+2)) = 2

answer was 3/4

What was the LCD I should multiply by?

Thanks!
 
Nov 2009
717
133
Wahiawa, Hawaii
your LCD should be 2(x+2)

multilply all terms by this and simplify you should get \(\displaystyle \frac{3}{4}\)

thus assumming cancelation:

\(\displaystyle \frac{5}{LCD} + \frac{6}{LCD} = \frac{4(x+2)}{LCD}\)

\(\displaystyle 5+6 = 4x+8\)

\(\displaystyle 3=4x\)

\(\displaystyle
\frac{3}{4}=x\)
 
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