Решение примеров:

1) $$2 \frac{2}{15} \cdot 1 \frac{1}{16} = \frac{32}{15} \cdot \frac{17}{16} = \frac{2}{15} \cdot \frac{17}{1} = \frac{34}{15} = 2 \frac{4}{15}$$ 2) $$8 \frac{3}{4} \cdot 1 \frac{3}{14} = \frac{35}{4} \cdot \frac{17}{14} = \frac{5}{4} \cdot \frac{17}{2} = \frac{85}{8} = 10 \frac{5}{8}$$ 3) $$1 \frac{7}{8} \cdot 1 \frac{1}{15} \cdot 1 \frac{7}{16} = \frac{15}{8} \cdot \frac{16}{15} \cdot \frac{23}{16} = \frac{1}{1} \cdot \frac{1}{1} \cdot \frac{23}{16} = \frac{23}{8} = 1 \frac{7}{16}$$ 4) $$5 \frac{3}{15} \cdot 3 \frac{4}{15} \cdot 2 \frac{5}{14} = 5 \frac{1}{5} \cdot 3 \frac{4}{15} \cdot 2 \frac{5}{14} = \frac{26}{5} \cdot \frac{49}{15} \cdot \frac{33}{14} = \frac{26}{5} \cdot \frac{7}{15} \cdot \frac{33}{2} = \frac{13}{5} \cdot \frac{7}{15} \cdot \frac{33}{1} = \frac{13}{5} \cdot \frac{7}{5} \cdot \frac{11}{1} = \frac{1001}{25} = 40 \frac{1}{25}$$ 5) $$2 \frac{1}{42} \cdot 1 \frac{7}{17} \cdot \frac{7}{12} = \frac{85}{42} \cdot \frac{24}{17} \cdot \frac{7}{12} = \frac{5}{6} \cdot \frac{2}{1} \cdot \frac{1}{1} = \frac{10}{6} = \frac{5}{3} = 1 \frac{2}{3}$$ 6) $$3 \frac{1}{3} : 2 \frac{6}{7} = \frac{10}{3} : \frac{20}{7} = \frac{10}{3} \cdot \frac{7}{20} = \frac{1}{3} \cdot \frac{7}{2} = \frac{7}{6} = 1 \frac{1}{6}$$ 7) $$7 \frac{5}{7} : 3 \frac{3}{5} = \frac{54}{7} : \frac{18}{5} = \frac{54}{7} \cdot \frac{5}{18} = \frac{3}{7} \cdot \frac{5}{1} = \frac{15}{7} = 2 \frac{1}{7}$$ 8) $$8 \frac{4}{9} : 3 \frac{4}{5} = \frac{76}{9} : \frac{19}{5} = \frac{76}{9} \cdot \frac{5}{19} = \frac{4}{9} \cdot \frac{5}{1} = \frac{20}{9} = 2 \frac{2}{9}$$ 9) $$2 \frac{2}{3} : 2 \frac{2}{7} = \frac{8}{3} : \frac{16}{7} = \frac{8}{3} \cdot \frac{7}{16} = \frac{1}{3} \cdot \frac{7}{2} = \frac{7}{6} = 1 \frac{1}{6}$$ 10) $$3 \frac{1}{3} : 3 \frac{3}{4} = \frac{10}{3} : \frac{15}{4} = \frac{10}{3} \cdot \frac{4}{15} = \frac{2}{3} \cdot \frac{4}{3} = \frac{8}{9}$$