Найдите значение выражения (1—5):

1. $7 + 1\frac{5}{9} \cdot (-6\frac{1}{7}) = 7 + \frac{14}{9} \cdot (-\frac{43}{7}) = 7 - \frac{2 \cdot 43}{9} = 7 - \frac{86}{9} = 7 - 9\frac{5}{9} = -2\frac{5}{9}$ 2. $4\frac{5}{7} : (-5\frac{1}{2}) - 5\frac{3}{4} : 3\frac{1}{2} = \frac{33}{7} : (-\frac{11}{2}) - \frac{23}{4} : \frac{7}{2} = (\frac{33}{7} \cdot (-\frac{2}{11})) - (\frac{23}{4} \cdot \frac{2}{7}) = -\frac{6}{7} - \frac{23}{14} = -\frac{12}{14} - \frac{23}{14} = -\frac{35}{14} = -2.5$ 3. $3\frac{2}{3} \cdot \frac{5}{13} + 3\frac{1}{13} : (-1\frac{2}{3}) = \frac{11}{3} \cdot \frac{5}{13} + \frac{40}{13} : (-\frac{5}{3}) = \frac{55}{39} + (\frac{40}{13} \cdot (-\frac{3}{5})) = \frac{55}{39} - \frac{8 \cdot 3}{13} = \frac{55}{39} - \frac{24}{13} = \frac{55}{39} - \frac{72}{39} = -\frac{17}{39}$ 4. $\frac{8}{9} - (4\frac{2}{7} - 3\frac{1}{7} : 1\frac{1}{2}) = \frac{8}{9} - (\frac{30}{7} - \frac{22}{7} : \frac{3}{2}) = \frac{8}{9} - (\frac{30}{7} - \frac{22}{7} \cdot \frac{2}{3}) = \frac{8}{9} - (\frac{30}{7} - \frac{44}{21}) = \frac{8}{9} - (\frac{90}{21} - \frac{44}{21}) = \frac{8}{9} - \frac{46}{21} = \frac{56}{63} - \frac{138}{63} = -\frac{82}{63} = -1\frac{19}{63}$ 5. $\frac{4\frac{29}{31} - 4\frac{29}{31}}{7\frac{2}{13} : 4\frac{5}{13} - 2} = \frac{0}{7\frac{2}{13} : 4\frac{5}{13} - 2} = 0$ (так как числитель равен нулю, а знаменатель не равен нулю)