Add the whole numbers and fractions separately with the same denominator.

• \( 3\frac{1}{3} + 2\frac{1}{3} = (3 + 2) + \left(\frac{1}{3} + \frac{1}{3}\right) \)
• Whole numbers: 3 + 2 = 5
• Fractions: \( \frac{1}{3} + \frac{1}{3} = \frac{2}{3} \)
• \( \frac{2}{3} \) is already in simplest form (HCF of 2 and 3 is 1).
• Answer: \( 5\frac{2}{3} \)

Final Answer: A: \( 5\frac{2}{3} \)