$$4 \frac{1}{3} + 2 \frac{4}{7} = (4 + 2) + (\frac{1}{3} + \frac{4}{7}) = 6 + (\frac{1 \cdot 7 + 4 \cdot 3}{21}) = 6 + \frac{7 + 12}{21} = 6 + \frac{19}{21} = 6 \frac{19}{21}$$
Ответ: 6 19/21