[tex]\begin{gathered} a) \\ \frac{5}{7}\times\frac{6}{5}=\frac{6}{7} \end{gathered}[/tex][tex]\begin{gathered} b) \\ \frac{5}{-4}\times\frac{-8}{3}=\frac{-8}{-4}\times\frac{5}{3}=2\times\frac{5}{3}=\frac{10}{3} \end{gathered}[/tex][tex]\begin{gathered} c) \\ -\frac{15}{8}\times\frac{(-2)}{5}=\frac{-15}{5}\times\frac{-2}{8}=-3\times\frac{-1}{4}=\frac{3}{4} \end{gathered}[/tex][tex]\begin{gathered} d) \\ 4\times(-12)\times\frac{5}{10}\times3\times(-8)=-48\times\frac{5}{10}\times-24=1152\times\frac{5}{10}=\frac{5710}{10}=576 \\ \end{gathered}[/tex]