11 523 925 5 +

Решим пример:

$$\begin{aligned}
\frac{5}{9} + \frac{2}{25} : \frac{3}{5} + \frac{7}{9} = \frac{5}{9} + \frac{2}{25} \cdot \frac{5}{3} + \frac{7}{9} = \frac{5}{9} + \frac{2}{5} \cdot \frac{1}{3} + \frac{7}{9} = \frac{5}{9} + \frac{2}{15} + \frac{7}{9} = \frac{5 \cdot 3 + 2 \cdot 3 + 7 \cdot 5}{45} = \frac{15 + 6 + 35}{45} = \frac{56}{45} = 1\frac{11}{45}
\end{aligned}$$

Ответ: $$1\frac{11}{45}$$