9. Найдите значение выражения: 1) (5/9 + 14/15) : (-17/30); 2) (5/18 - (-11/27)) : (-2 5/16); 3) (11/18 - 17/24) : (-5/18 + 4/15);

1) \(\left(\frac{5}{9} + \frac{14}{15}\right) : \left(-\frac{17}{30}\right) = \left(\frac{25}{45} + \frac{42}{45}\right) : \left(-\frac{17}{30}\right) = \frac{67}{45} : \left(-\frac{17}{30}\right) = \frac{67}{45} \cdot \left(-\frac{30}{17}\right) = -\frac{67 \cdot 2}{3 \cdot 17} = -\frac{134}{51} = -2\frac{32}{51}\) 2) \(\left(\frac{5}{18} - \left(-\frac{11}{27}\right)\right) : \left(-2\frac{5}{16}\right) = \left(\frac{5}{18} + \frac{11}{27}\right) : \left(-\frac{37}{16}\right) = \left(\frac{15}{54} + \frac{22}{54}\right) : \left(-\frac{37}{16}\right) = \frac{37}{54} : \left(-\frac{37}{16}\right) = \frac{37}{54} \cdot \left(-\frac{16}{37}\right) = -\frac{8}{27}\) 3) \(\left(\frac{11}{18} - \frac{17}{24}\right) : \left(-\frac{5}{18} + \frac{4}{15}\right) = \left(\frac{44}{72} - \frac{51}{72}\right) : \left(-\frac{25}{90} + \frac{24}{90}\right) = \left(-\frac{7}{72}\right) : \left(-\frac{1}{90}\right) = \left(-\frac{7}{72}\right) \cdot (-90) = \frac{7 \cdot 5}{4} = \frac{35}{4} = 8\frac{3}{4}\)