Ответ:
1. \(5\frac{3}{7} + 2\frac{4}{7} = 7 + \frac{7}{7} = 8\).
\(8 : \frac{1}{7} = 8 \cdot 7 = 56\).
2. \(8\frac{4}{10} - \frac{5}{6} = \frac{42}{5} - \frac{5}{6} = \frac{227}{30}\).
\(\frac{227}{30} \cdot \frac{6}{5} \cdot \frac{2}{9} = \frac{454}{225}\).
3. \(\frac{24}{90} - \frac{7}{45} = \frac{12}{45} - \frac{7}{45} = \frac{1}{9}\).
\(\frac{1}{9} : 1\frac{3}{5} = \frac{1}{9} : \frac{8}{5} = \frac{1}{9} \cdot \frac{5}{8} = \frac{5}{72}\).
4. \(\left(\frac{1}{6} \cdot \frac{3}{4}\right) \cdot \left(\frac{4}{6} \cdot \frac{6}{4}\right) = \frac{1}{8} \cdot 1 = \frac{1}{8}\).
Ответ: 1) 56; 2) \(\frac{454}{225}\); 3) \(\frac{5}{72}\); 4) \(\frac{1}{8}\).
