a) $$ \frac{5}{8} : \frac{1}{4} = \frac{5}{8} \cdot \frac{4}{1} = \frac{5 \cdot 4}{8 \cdot 1} = \frac{5 \cdot 4}{2 \cdot 4 \cdot 1} = \frac{5}{2} = 2 \frac{1}{2} $$
б) $$ 1 \frac{1}{6} : \frac{7}{15} = \frac{1 \cdot 6 + 1}{6} : \frac{7}{15} = \frac{7}{6} : \frac{7}{15} = \frac{7}{6} \cdot \frac{15}{7} = \frac{7 \cdot 15}{6 \cdot 7} = \frac{7 \cdot 3 \cdot 5}{2 \cdot 3 \cdot 7} = \frac{5}{2} = 2 \frac{1}{2} $$
Ответ: a) $$2 \frac{1}{2}$$, б) $$2 \frac{1}{2}$$