Выполним действия с дробями:
- $$\frac{4}{5} : \frac{1}{2} = \frac{4}{5} \cdot \frac{2}{1} = \frac{4 \cdot 2}{5 \cdot 1} = \frac{8}{5} = 1\frac{3}{5}$$
- $$\frac{3}{7} : \frac{6}{7} = \frac{3}{7} \cdot \frac{7}{6} = \frac{3 \cdot 7}{7 \cdot 6} = \frac{21}{42} = \frac{1}{2}$$
- $$\frac{1}{2} : \frac{3}{4} = \frac{1}{2} \cdot \frac{4}{3} = \frac{1 \cdot 4}{2 \cdot 3} = \frac{4}{6} = \frac{2}{3}$$
- $$\frac{5}{7} : \frac{5}{7} = \frac{5}{7} \cdot \frac{7}{5} = \frac{5 \cdot 7}{7 \cdot 5} = \frac{35}{35} = 1$$
- $$\frac{8}{11} : \frac{16}{77} = \frac{8}{11} \cdot \frac{77}{16} = \frac{8 \cdot 77}{11 \cdot 16} = \frac{616}{176} = \frac{7}{2} = 3\frac{1}{2}$$
- $$\frac{5}{23} : \frac{15}{46} = \frac{5}{23} \cdot \frac{46}{15} = \frac{5 \cdot 46}{23 \cdot 15} = \frac{230}{345} = \frac{2}{3}$$
- $$\frac{14}{25} : \frac{21}{50} = \frac{14}{25} \cdot \frac{50}{21} = \frac{14 \cdot 50}{25 \cdot 21} = \frac{700}{525} = \frac{4}{3} = 1\frac{1}{3}$$
- $$\frac{18}{20} : \frac{27}{40} = \frac{18}{20} \cdot \frac{40}{27} = \frac{18 \cdot 40}{20 \cdot 27} = \frac{720}{540} = \frac{4}{3} = 1\frac{1}{3}$$
- $$\frac{63}{70} : \frac{81}{270} = \frac{63}{70} \cdot \frac{270}{81} = \frac{63 \cdot 270}{70 \cdot 81} = \frac{17010}{5670} = \frac{3}{1} = 3$$
- $$\frac{2}{33} : \frac{24}{30} = \frac{2}{33} \cdot \frac{30}{24} = \frac{2 \cdot 30}{33 \cdot 24} = \frac{60}{792} = \frac{5}{66}$$
Ответ: Выше приведены решения.