\(\frac{8}{21} + \frac{4}{35} = \frac{8 \cdot 5}{21 \cdot 5} + \frac{4 \cdot 3}{35 \cdot 3} = \frac{40}{105} + \frac{12}{105} = \frac{40 + 12}{105} = \frac{52}{105}\)
Ответ: \(\frac{52}{105}\).