Let's find the LCM of the fractions 1/3 and 1.

The LCM of 3 and 1 is 3. So we need to convert the fractions to have a common denominator of 3.

1/3 = 1/3
1 = 3/3

Now, let's rewrite the expression with the common denominator of 3:

(x+1/3)(x-6/3)=(x-1/3)(x+3/3)

Simplify the fractions:

(x+1/3)(x-2)=(x-1/3)(x+1)

So, the given equation (x+1 1/3)(x-2)=(x-1 1/3)(x+1) is already simplified.