1. **State the problem:** Simplify the expression $$\frac{m}{3} + \frac{2m}{3}$$. 2. **Formula and rules:** When adding or subtracting rational expressions with the same denominator, keep the denominator and add or subtract the numerators. 3. **Apply the rule:** Since both terms have denominator 3, add the numerators: $$\frac{m}{3} + \frac{2m}{3} = \frac{m + 2m}{3}$$ 4. **Simplify the numerator:** $$m + 2m = 3m$$ 5. **Substitute back:** $$\frac{3m}{3}$$ 6. **Cancel common factors:** $$\frac{\cancel{3}m}{\cancel{3}} = m$$ 7. **Final answer:** $$m$$ This means the sum of $$\frac{m}{3}$$ and $$\frac{2m}{3}$$ simplifies to $$m$$.