\(\sqrt{\frac{64}{9}}+\sqrt{\frac{25}{81}}=\)

\(\sqrt{\frac{64}{9}}=\frac{8}{3}\), \(\sqrt{\frac{25}{81}}=\frac{5}{9}\).

\(\frac{8}{3}+\frac{5}{9}=\frac{24}{9}+\frac{5}{9}=\frac{29}{9}\).

Ответ: \(\frac{29}{9}\).