Помоги решить примеры: 1) 5 5/7 + 1 3/4

Привет! Давай решим эти примеры вместе. 1) $5\frac{5}{7} + 1\frac{3}{4} = \frac{40}{7} + \frac{7}{4} = \frac{40 \cdot 4 + 7 \cdot 7}{28} = \frac{160 + 49}{28} = \frac{209}{28} = 7\frac{13}{28}$ 2) $8\frac{1}{2} - 3\frac{5}{7} = \frac{17}{2} - \frac{26}{7} = \frac{17 \cdot 7 - 26 \cdot 2}{14} = \frac{119 - 52}{14} = \frac{67}{14} = 4\frac{11}{14}$ 3) $3\frac{3}{7} \cdot 1\frac{1}{9} = \frac{24}{7} \cdot \frac{10}{9} = \frac{24 \cdot 10}{7 \cdot 9} = \frac{8 \cdot 10}{7 \cdot 3} = \frac{80}{21} = 3\frac{17}{21}$ 4) $\frac{5}{8} \cdot \frac{4}{7} = \frac{5 \cdot 4}{8 \cdot 7} = \frac{5 \cdot 1}{2 \cdot 7} = \frac{5}{14}$ 5) $\frac{25}{31} \cdot 4 = \frac{25 \cdot 4}{31} = \frac{100}{31} = 3\frac{7}{31}$ 6) $\frac{17}{46} : \frac{17}{4} = \frac{17}{46} \cdot \frac{4}{17} = \frac{17 \cdot 4}{46 \cdot 17} = \frac{1 \cdot 4}{46 \cdot 1} = \frac{4}{46} = \frac{2}{23}$ 7) $24 : \frac{4}{5} = 24 \cdot \frac{5}{4} = \frac{24 \cdot 5}{4} = \frac{6 \cdot 5}{1} = 30$ 8) $1\frac{7}{6} : 3\frac{7}{3} = \frac{13}{6} : \frac{16}{3} = \frac{13}{6} \cdot \frac{3}{16} = \frac{13 \cdot 3}{6 \cdot 16} = \frac{13 \cdot 1}{2 \cdot 16} = \frac{13}{32}$