Найдите значение выражения: 1) 2 1/4 : 3/8 : 1/2; 2) 2 1/4 : (3/8 : 1/2); ... Решите уравнение: 1) 6/5x = 3/5...

10. **Найдите значение выражения:** 1) $2 \frac{1}{4} : \frac{3}{8} : \frac{1}{2} = \frac{9}{4} \cdot \frac{8}{3} : \frac{1}{2} = 6 : \frac{1}{2} = 6 \cdot 2 = 12$ 2) $2 \frac{1}{4} : (\frac{3}{8} : \frac{1}{2}) = \frac{9}{4} : (\frac{3}{8} \cdot 2) = \frac{9}{4} : \frac{3}{4} = \frac{9}{4} \cdot \frac{4}{3} = 3$ 3) $(6 \frac{3}{4} - 5 \frac{1}{8} : 1 \frac{9}{32}) : 2 \frac{1}{5} = (\frac{27}{4} - \frac{41}{8} : \frac{41}{32}) : \frac{11}{5} = (\frac{27}{4} - \frac{41}{8} \cdot \frac{32}{41}) : \frac{11}{5} = (\frac{27}{4} - 4) : \frac{11}{5} = (6,75 - 4) : 2,2 = 2,75 : 2,2 = 1,25$ 4) (3 \frac{1}{4} + 2 \frac{1}{6}) : 2 \frac{3}{5} - \frac{2}{3} : \frac{4}{9} = (3 \frac{3}{12} + 2 \frac{2}{12}) : \frac{13}{5} - \frac{2}{3} \cdot \frac{9}{4} = 5 \frac{5}{12} : \frac{13}{5} - \frac{3}{2} = \frac{65}{12} \cdot \frac{5}{13} - 1,5 = \frac{25}{12} - \frac{18}{12} = \frac{7}{12}$ 11. **Решите уравнение:** 1) $\frac{6}{5}x = \frac{3}{5}$ $x = \frac{3}{5} : \frac{6}{5} = \frac{3}{5} \cdot \frac{5}{6} = \frac{3}{6} = \frac{1}{2}$ (**0,5**) 2) $\frac{4}{7}x = 1$ $x = 1 : \frac{4}{7} = \frac{7}{4} = 1 \frac{3}{4}$ (**1,75**) 3) $\frac{3}{4}x = 12$ $x = 12 : \frac{3}{4} = 12 \cdot \frac{4}{3} = 4 \cdot 4 = 16$ 4) $3x = \frac{2}{3}$ $x = \frac{2}{3} : 3 = \frac{2}{3} \cdot \frac{1}{3} = \frac{2}{9}$ 5) $x : \frac{7}{15} = \frac{15}{28}$ $x = \frac{15}{28} \cdot \frac{7}{15} = \frac{7}{28} = \frac{1}{4}$ (**0,25**) 6) $5 \frac{1}{4} : x = \frac{7}{8}$ $x = 5 \frac{1}{4} : \frac{7}{8} = \frac{21}{4} \cdot \frac{8}{7} = 3 \cdot 2 = 6$