59:135

$$5\frac{9}{11}:13\frac{5}{7}=\frac{5 \cdot 11 + 9}{11}:\frac{13 \cdot 7 + 5}{7}=\frac{55+9}{11}:\frac{91+5}{7}=\frac{64}{11}:\frac{96}{7}=\frac{64}{11} \cdot \frac{7}{96}=\frac{64 \cdot 7}{11 \cdot 96}=\frac{448}{1056}=\frac{14}{33}$$

Ответ: $$\frac{14}{33}$$