1). 2\frac{2}{15}\cdot 1\frac{1}{16} = 2). 8\frac{3}{4}\cdot 1\frac{3}{14} = 3). 1\frac{7}{8}\cdot 1\frac{1}{15}\cdot 1\frac{7}{16} = 4). 5\frac{3}{15}\cdot 2\frac{4}{14} = 5). 2\frac{1}{42}\cdot 1\frac{7}{17}\cdot \frac{7}{12} = 6). 3\frac{1}{3}:2\frac{6}{7} = 7). 7\frac{5}{7}:3\frac{3}{5} = 8). 8\frac{4}{9}:3\frac{4}{5} = 9). 2\frac{2}{3}:2\frac{2}{7} = 10). 3\frac{1}{3}:3\frac{3}{4} =

Решение:

1) \(2\frac{2}{15} \cdot 1\frac{1}{16} = \frac{32}{15} \cdot \frac{17}{16} = \frac{2 \cdot 17}{15} = \frac{34}{15} = 2\frac{4}{15}\) 2) \(8\frac{3}{4} \cdot 1\frac{3}{14} = \frac{35}{4} \cdot \frac{17}{14} = \frac{5 \cdot 17}{4 \cdot 2} = \frac{85}{8} = 10\frac{5}{8}\) 3) \(1\frac{7}{8} \cdot 1\frac{1}{15} \cdot 1\frac{7}{16} = \frac{15}{8} \cdot \frac{16}{15} \cdot \frac{23}{16} = \frac{23}{8} = 2\frac{7}{8}\) 4) \(5\frac{3}{15} \cdot 2\frac{4}{14} = 5\frac{1}{5} \cdot 2\frac{2}{7} = \frac{26}{5} \cdot \frac{16}{7} = \frac{416}{35} = 11\frac{31}{35}\) 5) \(2\frac{1}{42} \cdot 1\frac{7}{17} \cdot \frac{7}{12} = \frac{85}{42} \cdot \frac{24}{17} \cdot \frac{7}{12} = \frac{5 \cdot 1}{6} = \frac{5}{6}\) 6) \(3\frac{1}{3} : 2\frac{6}{7} = \frac{10}{3} : \frac{20}{7} = \frac{10}{3} \cdot \frac{7}{20} = \frac{7}{6} = 1\frac{1}{6}\) 7) \(7\frac{5}{7} : 3\frac{3}{5} = \frac{54}{7} : \frac{18}{5} = \frac{54}{7} \cdot \frac{5}{18} = \frac{3 \cdot 5}{7} = \frac{15}{7} = 2\frac{1}{7}\) 8) \(8\frac{4}{9} : 3\frac{4}{5} = \frac{76}{9} : \frac{19}{5} = \frac{76}{9} \cdot \frac{5}{19} = \frac{4 \cdot 5}{9} = \frac{20}{9} = 2\frac{2}{9}\) 9) \(2\frac{2}{3} : 2\frac{2}{7} = \frac{8}{3} : \frac{16}{7} = \frac{8}{3} \cdot \frac{7}{16} = \frac{7}{6} = 1\frac{1}{6}\) 10) \(3\frac{1}{3} : 3\frac{3}{4} = \frac{10}{3} : \frac{15}{4} = \frac{10}{3} \cdot \frac{4}{15} = \frac{2 \cdot 4}{3 \cdot 3} = \frac{8}{9}\)

Ответ: 1) \(2\frac{4}{15}\); 2) \(10\frac{5}{8}\); 3) \(2\frac{7}{8}\); 4) \(11\frac{31}{35}\); 5) \(\frac{5}{6}\); 6) \(1\frac{1}{6}\); 7) \(2\frac{1}{7}\); 8) \(2\frac{2}{9}\); 9) \(1\frac{1}{6}\); 10) \(\frac{8}{9}\)