# LCD Question

#### dwatkins741

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

What was the LCD I should multiply by?

Thanks!

#### bigwave

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

thus assumming cancelation:

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

$$\displaystyle 5+6 = 4x+8$$

$$\displaystyle 3=4x$$

$$\displaystyle \frac{3}{4}=x$$

Last edited:
dwatkins741