Решение:
а) $2\frac{1}{3} * (-\frac{7}{9}) * \frac{9}{7} = 2\frac{1}{3} * (-1) = -2\frac{1}{3};$
б) $(-\frac{8}{9}) * 2\frac{4}{17} * (-\frac{9}{8}) = 1 * 2\frac{4}{17} = 2\frac{4}{17};$
в) $2\frac{1}{4} * (-\frac{2}{3}) * (-1\frac{1}{2}) = 2\frac{1}{4} * (-\frac{2}{3}) * (-\frac{3}{2}) = 2\frac{1}{4} * 1 = 2\frac{1}{4};$
г) $(-\frac{4}{5}) * (2\frac{1}{2} * (-1\frac{1}{3})) = (-\frac{4}{5}) * (\frac{5}{2} * (-\frac{4}{3})) = (-\frac{4}{5}) * (-\frac{5 * 4}{2 * 3}) = (-\frac{4}{5}) * (-\frac{10}{3}) = \frac{8}{3} = 2\frac{2}{3};$
д) $5\frac{7}{9} * (-\frac{8}{9}) * (-2\frac{1}{4}) = \frac{52}{9} * (-\frac{8}{9}) * (-\frac{9}{4}) = \frac{52}{9} * \frac{8 * 9}{9 * 4} = \frac{52}{9} * 2 = \frac{52 * 2}{9} = \frac{104}{9} = 11\frac{5}{9};$
е) $4\frac{1}{5} * (3\frac{1}{2} * (-\frac{5}{7})) = \frac{21}{5} * (\frac{7}{2} * (-\frac{5}{7})) = \frac{21}{5} * (-\frac{5}{2}) = -\frac{21}{2} = -10\frac{1}{2}.$
Ответ:
а) $-2\frac{1}{3};$
б) $2\frac{4}{17};$
в) $2\frac{1}{4};$
г) $2\frac{2}{3};$
д) $11\frac{5}{9};$
е) $-10\frac{1}{2}.$