1) $$(-9.7 + 7.1) : (-\frac{13}{9}) = -2.6 : -\frac{13}{9} = -\frac{26}{10} \cdot -\frac{9}{13} = \frac{2}{5} \cdot 9 = \frac{18}{5} = 3.6$$.
2) $$(3\frac{1}{8}-2\frac{5}{12})\cdot(-1\frac{3}{17}) = (\frac{25}{8}-\frac{29}{12})\cdot(-\frac{20}{17}) = (\frac{75-58}{24})\cdot(-\frac{20}{17}) = \frac{17}{24}\cdot(-\frac{20}{17}) = -\frac{20}{24} = -\frac{5}{6}$$.