1. Вычислите: a) \(\frac{2}{3}\cdot 1\frac{2}{7};\) б) \(3\frac{1}{8} \cdot 2;\) в) \(1\frac{1}{7} \cdot 1\frac{3}{4};\) г) \(\frac{5}{6}: 2\frac{2}{9};\) д) \(3\frac{3}{5}: 9;\) e) \(7\frac{3}{5}: 1\frac{9}{10}.\) 2. Вычислите: a) \(2\frac{1}{2} \cdot 1\frac{1}{5} - 2\frac{2}{15}: 2;\) б) \(4\frac{3}{7} \cdot 8\frac{4}{9} - 4\frac{3}{7} \cdot 6\frac{4}{9}.\)

1. Вычислите:

а) \(\frac{2}{3} \cdot 1\frac{2}{7} = \frac{2}{3} \cdot \frac{9}{7} = \frac{2 \cdot 9}{3 \cdot 7} = \frac{2 \cdot 3}{1 \cdot 7} = \frac{6}{7}\) б) \(3\frac{1}{8} \cdot 2 = \frac{25}{8} \cdot 2 = \frac{25 \cdot 2}{8} = \frac{25}{4} = 6\frac{1}{4}\) в) \(1\frac{1}{7} \cdot 1\frac{3}{4} = \frac{8}{7} \cdot \frac{7}{4} = \frac{8 \cdot 7}{7 \cdot 4} = \frac{8}{4} = 2\) г) \(\frac{5}{6} : 2\frac{2}{9} = \frac{5}{6} : \frac{20}{9} = \frac{5}{6} \cdot \frac{9}{20} = \frac{5 \cdot 9}{6 \cdot 20} = \frac{1 \cdot 3}{2 \cdot 4} = \frac{3}{8}\) д) \(3\frac{3}{5} : 9 = \frac{18}{5} : 9 = \frac{18}{5} \cdot \frac{1}{9} = \frac{18 \cdot 1}{5 \cdot 9} = \frac{2 \cdot 1}{5 \cdot 1} = \frac{2}{5}\) е) \(7\frac{3}{5} : 1\frac{9}{10} = \frac{38}{5} : \frac{19}{10} = \frac{38}{5} \cdot \frac{10}{19} = \frac{38 \cdot 10}{5 \cdot 19} = \frac{2 \cdot 2}{1 \cdot 1} = 4\)

2. Вычислите:

а) \(2\frac{1}{2} \cdot 1\frac{1}{5} - 2\frac{2}{15} : 2 = \frac{5}{2} \cdot \frac{6}{5} - \frac{32}{15} : 2 = \frac{5 \cdot 6}{2 \cdot 5} - \frac{32}{15} \cdot \frac{1}{2} = 3 - \frac{16}{15} = \frac{45}{15} - \frac{16}{15} = \frac{29}{15} = 1\frac{14}{15}\) б) \(4\frac{3}{7} \cdot 8\frac{4}{9} - 4\frac{3}{7} \cdot 6\frac{4}{9} = \frac{31}{7} \cdot \frac{76}{9} - \frac{31}{7} \cdot \frac{58}{9} = \frac{31}{7} \cdot (\frac{76}{9} - \frac{58}{9}) = \frac{31}{7} \cdot \frac{18}{9} = \frac{31}{7} \cdot 2 = \frac{62}{7} = 8\frac{6}{7}\)