Решите примеры: 1) \( \frac{2}{3} : \frac{1}{5} \) 2) \( \frac{5}{12} : \frac{11}{33} \) 3) \( \frac{2}{9} : \frac{5}{6} \)

Решение:

1. \( \frac{2}{3} : \frac{1}{5} = \frac{2}{3} \times \frac{5}{1} = \frac{2 \times 5}{3 \times 1} = \frac{10}{3} \)
2. \( \frac{5}{12} : \frac{11}{33} = \frac{5}{12} \times \frac{33}{11} = \frac{5 \times 33}{12 \times 11} = \frac{5 \times 3 \times 11}{12 \times 11} = \frac{5 \times 3}{12} = \frac{15}{12} = \frac{5}{4} \)
3. \( \frac{2}{9} : \frac{5}{6} = \frac{2}{9} \times \frac{6}{5} = \frac{2 \times 6}{9 \times 5} = \frac{12}{45} = \frac{4}{15} \)

Ответ: \( \frac{10}{3}, \frac{5}{4}, \frac{4}{15} \).