Решение:
а) $2\frac{1}{2} * \frac{2}{-75} = -\frac{5}{2} * \frac{2}{75} = -\frac{1 * 1}{1 * 15} = -\frac{1}{15}$;
б) $1\frac{1}{3} * \frac{-9}{16} = -\frac{4}{3} * \frac{9}{16} = -\frac{1 * 3}{1 * 4} = -\frac{3}{4}$;
в) $3\frac{1}{3} * \frac{-7}{-100} = \frac{10}{3} * \frac{7}{100} = \frac{1 * 7}{3 * 10} = \frac{7}{30}$;
г) $\frac{-5}{9} * 4\frac{1}{2} = -\frac{5}{9} * \frac{9}{2} = -\frac{5 * 1}{1 * 2} = -\frac{5}{2} = -2\frac{1}{2}$;
д) $-\frac{3}{5} * 1\frac{1}{4} = -\frac{3}{5} * \frac{5}{4} = -\frac{3 * 1}{1 * 4} = -\frac{3}{4}$;
е) $3\frac{1}{4} * (-\frac{24}{39}) = -\frac{13}{4} * \frac{24}{39} = -\frac{1 * 6}{1 * 3} = -\frac{6}{3} = -2$;
ж) $-\frac{3}{4} * 2\frac{1}{5} = -\frac{3}{4} * \frac{11}{5} = -\frac{3 * 11}{4 * 5} = -\frac{33}{20} = -1\frac{13}{20}$;
з) $2\frac{1}{7} * (-\frac{14}{15}) = -\frac{15}{7} * \frac{14}{15} = -\frac{1 * 2}{1 * 1} = -2$;
и) $3\frac{1}{7} * (-\frac{5}{11}) = -\frac{22}{7} * \frac{5}{11} = -\frac{2 * 5}{7 * 1} = -\frac{10}{7} = -1\frac{1}{7}$.
Ответ:
а) $-\frac{1}{15}$;
б) $-\frac{3}{4}$;
в) $\frac{7}{30}$;
г) $-2\frac{1}{2}$;
д) $-\frac{3}{4}$;
е) $-2$;
ж) $-1\frac{13}{20}$;
з) $-2$;
и) $-1\frac{1}{7}$.