Решите примеры с обыкновенными дробями: (3 1/2 - 2 3/8) : 6, 2/3 : (8 2/3 - 8 1/3) и другие.

1) $(3 \frac{1}{2} - 2 \frac{3}{8}) : 6 = (3 \frac{4}{8} - 2 \frac{3}{8}) : 6 = 1 \frac{1}{8} : 6 = \frac{9}{8} \cdot \frac{1}{6} = \frac{3}{8 \cdot 2} = \frac{3}{16}$ 2) $\frac{2}{3} : (8 \frac{2}{3} - 8 \frac{1}{3}) = \frac{2}{3} : \frac{1}{3} = \frac{2}{3} \cdot 3 = 2$ 3) $\frac{3}{7} \cdot \frac{5}{18} : 1 \frac{1}{14} = \frac{3 \cdot 5}{7 \cdot 18} : \frac{15}{14} = \frac{5}{7 \cdot 6} \cdot \frac{14}{15} = \frac{1}{42} \cdot \frac{14}{3} = \frac{14}{126} = \frac{1}{9}$ 4) $25 \cdot \frac{13}{15} : 2 \frac{1}{6} = \frac{25 \cdot 13}{15} : \frac{13}{6} = \frac{5 \cdot 13}{3} \cdot \frac{6}{13} = 5 \cdot 2 = 10$ 5) $\frac{7}{16} \cdot (\frac{20}{21} \cdot \frac{5}{12}) = \frac{7}{16} \cdot \frac{5 \cdot 5}{21 \cdot 3} = \frac{7}{16} \cdot \frac{25}{63} = \frac{25}{16 \cdot 9} = \frac{25}{144}$ 6) $\frac{5}{9} \cdot 4 \frac{1}{2} : 10 = \frac{5}{9} \cdot \frac{9}{2} : 10 = \frac{5}{2} \cdot \frac{1}{10} = \frac{1}{4} = 0,25$ 7) $(1 \frac{1}{2} - \frac{3}{8}) : 18 = (1 \frac{4}{8} - \frac{3}{8}) : 18 = 1 \frac{1}{8} : 18 = \frac{9}{8} \cdot \frac{1}{18} = \frac{1}{8 \cdot 2} = \frac{1}{16}$ 8) $(3 \frac{4}{9} - 3 \frac{1}{3}) : \frac{2}{3} = (3 \frac{4}{9} - 3 \frac{3}{9}) : \frac{2}{3} = \frac{1}{9} : \frac{2}{3} = \frac{1}{9} \cdot \frac{3}{2} = \frac{1}{6}$ 9) $(2 \frac{1}{5} + 1 \frac{3}{10}) : \frac{1}{2} = (2 \frac{2}{10} + 1 \frac{3}{10}) : \frac{1}{2} = 3 \frac{5}{10} : \frac{1}{2} = 3,5 \cdot 2 = 7$ 10) $1 \frac{1}{6} : (9 \frac{3}{4} - 5 \frac{8}{12}) = \frac{7}{6} : (9 \frac{9}{12} - 5 \frac{8}{12}) = \frac{7}{6} : 4 \frac{1}{12} = \frac{7}{6} : \frac{49}{12} = \frac{7}{6} \cdot \frac{12}{49} = \frac{2}{7}$ 11) $\frac{3}{16} \cdot 10 + 4 \frac{1}{6} \cdot 1 \frac{1}{20} - \frac{9}{10} \cdot 5 = \frac{15}{8} + \frac{25}{6} \cdot \frac{21}{20} - \frac{9}{2} = \frac{15}{8} + \frac{5 \cdot 7}{2 \cdot 4} - \frac{36}{8} = \frac{15}{8} + \frac{35}{8} - \frac{36}{8} = \frac{14}{8} = 1 \frac{3}{4} = 1,75$ 12) $24 \cdot \frac{1}{9} \cdot 1 \frac{1}{2} \cdot 3 \frac{3}{4} \cdot 2 \frac{2}{15} = \frac{24}{1} \cdot \frac{1}{9} \cdot \frac{3}{2} \cdot \frac{15}{4} \cdot \frac{32}{15} = \frac{24 \cdot 3 \cdot 32}{9 \cdot 2 \cdot 4} = \frac{8 \cdot 1 \cdot 4}{1 \cdot 1 \cdot 1} = 32$ **Ответ:** 1) 3/16; 2) 2; 3) 1/9; 4) 10; 5) 25/144; 6) 0,25; 7) 1/16; 8) 1/6; 9) 7; 10) 2/7; 11) 1,75; 12) 32.