$${\frac{5}{8}} : 25 = {\frac{5}{8}} \cdot {\frac{1}{25}} = {\frac{5}{8 \cdot 25}} = {\frac{5}{8 \cdot 5 \cdot 5}} = {\frac{1}{8 \cdot 5}} = {\frac{1}{40}}$$
Ответ: $$\frac{1}{40}$$