a) (-\frac{1}{2})* (-\frac{6}{7}) = \frac{6}{14} = \frac{3}{7} \\ \\ b) \frac{14}{5} * \frac{3}{7} = \frac{2*3}{5} = \frac{6}{5} \\ \\c) (-\frac{27}{10})* \frac{5}{63} = -\frac{3*5}{10*7} = - \frac{3}{2*7} = - \frac{3}{14} \\ \\ d) \frac{1}{5} * \frac{8}{3} *(- \frac{15}{2}) = - \frac{8*15}{5*3*2} = - \frac{4}{1} =-4 \\ \\ e) \frac{144}{5} * \frac{10}{288} *(+ \frac{175}{25}) = \frac{2}{2} *( \frac{175}{25}) = 1*7=7 \\ \\ f) \frac{313131}{20102} * (-\frac{40204}{626262}) = - \frac{2}{2} =-1 \\ \\