Выполни умножение: а) 3/8 * 9/11

*a) \(\frac{3}{8} \cdot \frac{9}{11} = \frac{3 \cdot 9}{8 \cdot 11} = \frac{27}{88}\)* *б) \(\frac{22}{35} \cdot \frac{21}{44} = \frac{22 \cdot 21}{35 \cdot 44} = \frac{2 \cdot 11 \cdot 3 \cdot 7}{5 \cdot 7 \cdot 4 \cdot 11} = \frac{2 \cdot 3}{5 \cdot 4} = \frac{6}{20} = \frac{3}{10}\)* *д) \(5\frac{3}{5} \cdot 1\frac{4}{21} = \frac{5 \cdot 5 + 3}{5} \cdot \frac{1 \cdot 21 + 4}{21} = \frac{28}{5} \cdot \frac{25}{21} = \frac{28 \cdot 25}{5 \cdot 21} = \frac{4 \cdot 7 \cdot 5 \cdot 5}{5 \cdot 3 \cdot 7} = \frac{4 \cdot 5}{3} = \frac{20}{3} = 6\frac{2}{3}\)* *e) \(9\frac{3}{7} \cdot 1\frac{3}{11} = \frac{9 \cdot 7 + 3}{7} \cdot \frac{1 \cdot 11 + 3}{11} = \frac{66}{7} \cdot \frac{14}{11} = \frac{66 \cdot 14}{7 \cdot 11} = \frac{6 \cdot 11 \cdot 2 \cdot 7}{7 \cdot 11} = 6 \cdot 2 = 12\)* *к) \(1\frac{1}{15} \cdot \frac{5}{16} = \frac{1 \cdot 15 + 1}{15} \cdot \frac{5}{16} = \frac{16}{15} \cdot \frac{5}{16} = \frac{16 \cdot 5}{15 \cdot 16} = \frac{5}{15} = \frac{1}{3}\)* *л) \(\frac{7}{11} \cdot 2\frac{5}{14} = \frac{7}{11} \cdot \frac{2 \cdot 14 + 5}{14} = \frac{7}{11} \cdot \frac{33}{14} = \frac{7 \cdot 33}{11 \cdot 14} = \frac{7 \cdot 3 \cdot 11}{11 \cdot 2 \cdot 7} = \frac{3}{2} = 1\frac{1}{2}\)* *Перевод:* *a) \(\frac{3}{8} \cdot \frac{9}{11} = \frac{3 \cdot 9}{8 \cdot 11} = \frac{27}{88}\)* *б) \(\frac{22}{35} \cdot \frac{21}{44} = \frac{22 \cdot 21}{35 \cdot 44} = \frac{2 \cdot 11 \cdot 3 \cdot 7}{5 \cdot 7 \cdot 4 \cdot 11} = \frac{2 \cdot 3}{5 \cdot 4} = \frac{6}{20} = \frac{3}{10}\)* *д) \(5\frac{3}{5} \cdot 1\frac{4}{21} = \frac{5 \cdot 5 + 3}{5} \cdot \frac{1 \cdot 21 + 4}{21} = \frac{28}{5} \cdot \frac{25}{21} = \frac{28 \cdot 25}{5 \cdot 21} = \frac{4 \cdot 7 \cdot 5 \cdot 5}{5 \cdot 3 \cdot 7} = \frac{4 \cdot 5}{3} = \frac{20}{3} = 6\frac{2}{3}\)* *e) \(9\frac{3}{7} \cdot 1\frac{3}{11} = \frac{9 \cdot 7 + 3}{7} \cdot \frac{1 \cdot 11 + 3}{11} = \frac{66}{7} \cdot \frac{14}{11} = \frac{66 \cdot 14}{7 \cdot 11} = \frac{6 \cdot 11 \cdot 2 \cdot 7}{7 \cdot 11} = 6 \cdot 2 = 12\)* *к) \(1\frac{1}{15} \cdot \frac{5}{16} = \frac{1 \cdot 15 + 1}{15} \cdot \frac{5}{16} = \frac{16}{15} \cdot \frac{5}{16} = \frac{16 \cdot 5}{15 \cdot 16} = \frac{5}{15} = \frac{1}{3}\)* *л) \(\frac{7}{11} \cdot 2\frac{5}{14} = \frac{7}{11} \cdot \frac{2 \cdot 14 + 5}{14} = \frac{7}{11} \cdot \frac{33}{14} = \frac{7 \cdot 33}{11 \cdot 14} = \frac{7 \cdot 3 \cdot 11}{11 \cdot 2 \cdot 7} = \frac{3}{2} = 1\frac{1}{2}\)*