Вычисли примеры: a) 6 1/3 - 8

a) $6\frac{1}{3} - 8 = \frac{19}{3} - 8 = \frac{19}{3} - \frac{24}{3} = -\frac{5}{3} = -1\frac{2}{3}$ б) $-2\frac{3}{7} + 4\frac{3}{5} = -\frac{17}{7} + \frac{23}{5} = -\frac{17 \cdot 5}{7 \cdot 5} + \frac{23 \cdot 7}{5 \cdot 7} = -\frac{85}{35} + \frac{161}{35} = \frac{76}{35} = 2\frac{6}{35}$ в) $5\frac{1}{3} - 6\frac{1}{4} = \frac{16}{3} - \frac{25}{4} = \frac{16 \cdot 4}{3 \cdot 4} - \frac{25 \cdot 3}{4 \cdot 3} = \frac{64}{12} - \frac{75}{12} = -\frac{11}{12}$ г) $8\frac{3}{8} : (-\frac{9}{16}) = \frac{67}{8} : (-\frac{9}{16}) = \frac{67}{8} \cdot (-\frac{16}{9}) = -\frac{67 \cdot 2}{9} = -\frac{134}{9} = -14\frac{8}{9}$ д) $\frac{5}{12} \cdot (-6) = \frac{5 \cdot (-6)}{12} = \frac{-30}{12} = -\frac{5}{2} = -2\frac{1}{2}$ е) $-3\frac{2}{9} \cdot 3 = -\frac{29}{9} \cdot 3 = -\frac{29 \cdot 3}{9} = -\frac{29}{3} = -9\frac{2}{3}$ и) $-3\frac{1}{2} : (-1\frac{4}{17}) = -\frac{7}{2} : (-\frac{21}{17}) = -\frac{7}{2} \cdot (-\frac{17}{21}) = \frac{7 \cdot 17}{2 \cdot 21} = \frac{17}{2 \cdot 3} = \frac{17}{6} = 2\frac{5}{6}$