Вычисли значения выражений в задании 6 а)

- a) $6\frac{1}{3} - 8 = \frac{19}{3} - 8 = \frac{19}{3} - \frac{24}{3} = -\frac{5}{3} = -1\frac{2}{3}$ - б) $-2\frac{3}{7} + 4\frac{1}{5} = -\frac{17}{7} + \frac{21}{5} = \frac{-17 \cdot 5 + 21 \cdot 7}{35} = \frac{-85 + 147}{35} = \frac{62}{35} = 1\frac{27}{35}$ - г) $\frac{3}{8} : (-\frac{9}{16}) = \frac{3}{8} \cdot (-\frac{16}{9}) = -\frac{3 \cdot 16}{8 \cdot 9} = -\frac{48}{72} = -\frac{2}{3}$ - д) $12 \cdot (-\frac{5}{6}) = -\frac{12 \cdot 5}{6} = -\frac{60}{6} = -10$ - e) $-3\frac{2}{9} \cdot 3 = -\frac{29}{9} \cdot 3 = -\frac{29 \cdot 3}{9} = -\frac{29}{3} = -9\frac{2}{3}$ - ж) $\frac{4}{7} \cdot (-49) = -\frac{4 \cdot 49}{7} = -\frac{4 \cdot 7 \cdot 7}{7} = -4 \cdot 7 = -28$ - з) $-16 : (-\frac{4}{9}) = -16 \cdot (-\frac{9}{4}) = \frac{16 \cdot 9}{4} = \frac{4 \cdot 4 \cdot 9}{4} = 4 \cdot 9 = 36$ - и) $-3\frac{1}{2} \cdot (-1\frac{3}{7}) = -\frac{7}{2} \cdot (-\frac{10}{7}) = \frac{7 \cdot 10}{2 \cdot 7} = \frac{70}{14} = 5$ **Ответы:** - a) $-1\frac{2}{3}$ - б) $1\frac{27}{35}$ - г) $-\frac{2}{3}$ - д) $-10$ - e) $-9\frac{2}{3}$ - ж) $-28$ - з) $36$ - и) $5$