Вычислите значения выражений с дробями.

1) $5\frac{1}{3} : \frac{8}{9} : \frac{1}{3} = \frac{16}{3} \cdot \frac{9}{8} \cdot 3 = 16 \cdot \frac{3}{8} \cdot 3 = 2 \cdot 3 \cdot 3 = 18$ 2) $5\frac{1}{3} : (\frac{8}{9} : \frac{1}{3}) = \frac{16}{3} : (\frac{8}{9} \cdot 3) = \frac{16}{3} : \frac{8}{3} = \frac{16}{3} \cdot \frac{3}{8} = 2$ 3) $(8\frac{5}{7} - 6\frac{5}{6} : 1\frac{5}{36}) : 4\frac{3}{4}$ 1) $6\frac{5}{6} : 1\frac{5}{36} = \frac{41}{6} : \frac{41}{36} = \frac{41}{6} \cdot \frac{36}{41} = 6$ 2) $8\frac{5}{7} - 6 = 2\frac{5}{7}$ 3) $2\frac{5}{7} : 4\frac{3}{4} = \frac{19}{7} : \frac{19}{4} = \frac{19}{7} \cdot \frac{4}{19} = \frac{4}{7}$ 4) $(2\frac{5}{6} + 2\frac{2}{9}) : 3\frac{1}{4} - \frac{2}{7} : 1\frac{2}{7}$ 1) $2\frac{5}{6} + 2\frac{2}{9} = 2\frac{15}{18} + 2\frac{4}{18} = 4\frac{19}{18} = 5\frac{1}{18}$ 2) $5\frac{1}{18} : 3\frac{1}{4} = \frac{91}{18} : \frac{13}{4} = \frac{91}{18} \cdot \frac{4}{13} = \frac{7 \cdot 2}{9} = \frac{14}{9}$ 3) $\frac{2}{7} : 1\frac{2}{7} = \frac{2}{7} : \frac{9}{7} = \frac{2}{7} \cdot \frac{7}{9} = \frac{2}{9}$ 4) $\frac{14}{9} - \frac{2}{9} = \frac{12}{9} = 1\frac{3}{9} = 1\frac{1}{3}$ **Ответы:** 1) **18** 2) **2** 3) $\mathbf{\frac{4}{7}}$ 4) $\mathbf{1\frac{1}{3}}$