Вычислите выражения с обыкновенными дробями под номерами 14, 15, 16, 17.

14. $2\frac{4}{13} \cdot (3\frac{3}{8} - \frac{4}{15}) - 11 : 5\frac{1}{2} = \frac{30}{13} \cdot (\frac{27}{8} - \frac{4}{15}) - 11 : \frac{11}{2} = \frac{30}{13} \cdot (\frac{405 - 32}{120}) - 11 \cdot \frac{2}{11} = \frac{30}{13} \cdot \frac{373}{120} - 2 = \frac{1}{13} \cdot \frac{373}{4} - 2 = \frac{373}{52} - 2 = 7\frac{9}{52} - 2 = 5\frac{9}{52}$ 15. $\frac{4}{3} + (-5\frac{1}{2} + \frac{5}{4} \cdot 3\frac{1}{5}) : \frac{9}{10} = \frac{4}{3} + (-\frac{11}{2} + \frac{5}{4} \cdot \frac{16}{5}) : \frac{9}{10} = \frac{4}{3} + (-\frac{11}{2} + 4) : \frac{9}{10} = \frac{4}{3} + (-1\frac{1}{2}) : \frac{9}{10} = \frac{4}{3} - \frac{3}{2} \cdot \frac{10}{9} = \frac{4}{3} - \frac{5}{3} = -\frac{1}{3}$ 16. $\frac{29}{4} : \frac{5}{5} - \frac{3}{4} \cdot (3 - 1\frac{19}{30}) = \frac{29}{4} : 1 - \frac{3}{4} \cdot (2\frac{30}{30} - 1\frac{19}{30}) = \frac{29}{4} - \frac{3}{4} \cdot 1\frac{11}{30} = \frac{29}{4} - \frac{3}{4} \cdot \frac{41}{30} = \frac{29}{4} - \frac{41}{40} = \frac{290 - 41}{40} = \frac{249}{40} = 6\frac{9}{40} = 6,225$ 17. $\frac{14}{15} - \frac{9}{5} \cdot (2\frac{2}{3} - \frac{3}{7}) + \frac{3}{5} = \frac{14}{15} - \frac{9}{5} \cdot (\frac{8}{3} - \frac{3}{7}) + \frac{3}{5} = \frac{14}{15} - \frac{9}{5} \cdot (\frac{56 - 9}{21}) + \frac{3}{5} = \frac{14}{15} - \frac{9}{5} \cdot \frac{47}{21} + \frac{3}{5} = \frac{14}{15} - \frac{3}{5} \cdot \frac{47}{7} + \frac{3}{5} = \frac{14}{15} - \frac{141}{35} + \frac{3}{5} = \frac{98 - 423 + 63}{105} = -\frac{262}{105} = -2\frac{52}{105}$