Ответ:

  1. \(1\frac{1}{4} : 2\frac{1}{4} \cdot 1\frac{2}{7} = \frac{5}{4} : \frac{9}{4} \cdot \frac{9}{7} = \frac{5}{9} \cdot \frac{9}{7} = \frac{5}{7}\).

  2. \(4\frac{1}{3} \cdot 1\frac{7}{8} : \frac{13}{15} = \frac{13}{3} \cdot \frac{15}{8} \cdot \frac{15}{13} = \frac{75}{8} = 9\frac{3}{8}\).

  3. \(1\frac{3}{7} \cdot \frac{11}{15} : 4\frac{5}{7} = \frac{10}{7} \cdot \frac{11}{15} \cdot \frac{7}{33} = \frac{2}{9}\).

  4. \(1\frac{6}{7} : 3\frac{5}{7} \cdot \frac{4}{9} = \frac{13}{7} : \frac{26}{7} \cdot \frac{4}{9} = \frac{1}{2} \cdot \frac{4}{9} = \frac{2}{9}\).

Ответ: 1) \(\frac{5}{7}\); 2) \(9\frac{3}{8}\); 3) \(\frac{2}{9}\); 4) \(\frac{2}{9}\).