Ответ:

\(\frac{1}{3}+\frac{4}{5}=\frac{5}{15}+\frac{12}{15}=\frac{17}{15}\).

\(\frac{34}{5}:\frac{17}{15}=\frac{34}{5}\cdot\frac{15}{17}=6\).

Ответ: 6.