1. The problem is to find the result of the subtraction $$2 \frac{2}{3} - 4 \frac{1}{3}$$. 2. First, convert the mixed numbers to improper fractions. $$2 \frac{2}{3} = \frac{3 \times 2 + 2}{3} = \frac{6 + 2}{3} = \frac{8}{3}$$ $$4 \frac{1}{3} = \frac{3 \times 4 + 1}{3} = \frac{12 + 1}{3} = \frac{13}{3}$$ 3. Now subtract the improper fractions: $$\frac{8}{3} - \frac{13}{3} = \frac{8 - 13}{3} = \frac{-5}{3}$$ 4. Convert the improper fraction back to a mixed number: $$\frac{-5}{3} = -1 \frac{2}{3}$$ 5. So, the final answer is $$-1 \frac{2}{3}$$.