a) $$5 \frac{4}{7} : \frac{5}{8} = \frac{39}{7} : \frac{5}{8} = \frac{39}{7} \cdot \frac{8}{5} = \frac{312}{35} = 8 \frac{32}{35}$$
б) $$\frac{3}{8} : \frac{9}{16} = \frac{3}{8} \cdot \frac{16}{9} = \frac{48}{72} = \frac{2}{3}$$
г) $$48 : \frac{12}{18} = 48 \cdot \frac{18}{12} = \frac{48 \cdot 18}{12} = \frac{48}{12} \cdot 18 = 4 \cdot 18 = 72$$
д) $$ \frac{15}{16} : 6 = \frac{15}{16} : \frac{6}{1} = \frac{15}{16} \cdot \frac{1}{6} = \frac{15}{96} = \frac{5}{32}$$
Ответ: a) $$8 \frac{32}{35}$$, б) $$\frac{2}{3}$$, г) $$72$$, д) $$\frac{5}{32}$$