Вычисли пример 6а: 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) $-2\frac{2}{7} + 4\frac{3}{5} = -\frac{16}{7} + \frac{23}{5} = -\frac{16*5}{7*5} + \frac{23*7}{5*7} = -\frac{80}{35} + \frac{161}{35} = \frac{81}{35} = 2\frac{11}{35}$ - в) $5\frac{1}{3} - 6\frac{1}{4} = \frac{16}{3} - \frac{25}{4} = \frac{16*4}{3*4} - \frac{25*3}{4*3} = \frac{64}{12} - \frac{75}{12} = -\frac{11}{12}$ - г) $8\frac{3}{8} : (-\frac{9}{16}) = \frac{67}{8} : (-\frac{9}{16}) = \frac{67}{8} * (-\frac{16}{9}) = -\frac{67*16}{8*9} = -\frac{67*2}{9} = -\frac{134}{9} = -14\frac{8}{9}$ - д) $12\frac{5}{12} * (-6) = \frac{149}{12} * (-6) = -\frac{149 * 6}{12} = -\frac{149}{2} = -74\frac{1}{2}$ - e) $-3\frac{2}{9} * 3 = -\frac{29}{9} * 3 = -\frac{29 * 3}{9} = -\frac{29}{3} = -9\frac{2}{3}$ - ж) $\frac{4}{7} * (-49) = -\frac{4 * 49}{7} = -4*7 = -28$ - з) $-16 : (-\frac{4}{9}) = -16 * (-\frac{9}{4}) = \frac{16*9}{4} = 4*9 = 36$ - и) $-3\frac{1}{2} * ( -1\frac{3}{7}) = -\frac{7}{2} * (-\frac{10}{7}) = \frac{7*10}{2*7} = \frac{10}{2} = 5$ **Ответы:** - a) $-1\frac{2}{3}$ - б) $2\frac{11}{35}$ - в) $-\frac{11}{12}$ - г) $-14\frac{8}{9}$ - д) $-74\frac{1}{2}$ - e) $-9\frac{2}{3}$ - ж) $-28$ - з) $36$ - и) $5$