Решите примеры. 1) 5 5/7 + 1 3/4; 2) 8 1/2 - 3 5/7; 3) 3 3/7 * 1 1/9; 4) 5/8 * 4/7; 5) 25/31 * 4; 6) 17/46 : 17/4; 7) 24 : 4/5; 8) 1 7/6 : 7/3

Решим примеры с дробями: 1) $$5\frac{5}{7} + 1\frac{3}{4} = \frac{40}{7} + \frac{7}{4} = \frac{160}{28} + \frac{49}{28} = \frac{209}{28} = 7\frac{13}{28}$$ 2) $$8\frac{1}{2} - 3\frac{5}{7} = \frac{17}{2} - \frac{26}{7} = \frac{119}{14} - \frac{52}{14} = \frac{67}{14} = 4\frac{11}{14}$$ 3) $$3\frac{3}{7} \cdot 1\frac{1}{9} = \frac{24}{7} \cdot \frac{10}{9} = \frac{240}{63} = \frac{80}{21} = 3\frac{17}{21}$$ 4) $$\frac{5}{8} \cdot \frac{4}{7} = \frac{20}{56} = \frac{5}{14}$$ 5) $$\frac{25}{31} \cdot 4 = \frac{100}{31} = 3\frac{7}{31}$$ 6) $$\frac{17}{46} : \frac{17}{4} = \frac{17}{46} \cdot \frac{4}{17} = \frac{4}{46} = \frac{2}{23}$$ 7) $$24 : \frac{4}{5} = 24 \cdot \frac{5}{4} = \frac{120}{4} = 30$$ 8) $$1\frac{7}{6} : \frac{7}{3} = \frac{13}{6} : \frac{7}{3} = \frac{13}{6} \cdot \frac{3}{7} = \frac{39}{42} = \frac{13}{14}$$ Ответ: 1) $$7\frac{13}{28}$$ 2) $$4\frac{11}{14}$$ 3) $$3\frac{17}{21}$$ 4) $$\frac{5}{14}$$ 5) $$3\frac{7}{31}$$ 6) $$\frac{2}{23}$$ 7) 30 8) $$\frac{13}{14}$$