14$$\frac{2}{3}$$-5$$\frac{5}{9}$$-(3$$\frac{7}{8}$$+4$$\frac{5}{6}$$)+(10$$\frac{3}{4}$$-4$$\frac{4}{9}$$)+(30 - 29$$\frac{1}{7}$$)+(3$$\frac{1}{7}$$-$$\frac{23}{28}$$)

Выполним вычисления по действиям: 1) 14$$\frac{2}{3}$$-5$$\frac{5}{9}$$ = 14$$\frac{6}{9}$$-5$$\frac{5}{9}$$ = (14-5)+($$\frac{6}{9}$$-$$\frac{5}{9}$$) = 9$$\frac{1}{9}$$ = $$\frac{82}{9}$$ 2) 3$$\frac{7}{8}$$+4$$\frac{5}{6}$$ = 3$$\frac{21}{24}$$+4$$\frac{20}{24}$$ = (3+4)+($$\frac{21}{24}$$+$$\frac{20}{24}$$) = 7+$$\frac{41}{24}$$ = 7+1$$\frac{17}{24}$$ = 8$$\frac{17}{24}$$ = $$\frac{209}{24}$$ 3) 10$$\frac{3}{4}$$-4$$\frac{4}{9}$$ = 10$$\frac{27}{36}$$-4$$\frac{16}{36}$$ = (10-4)+($$\frac{27}{36}$$-$$\frac{16}{36}$$) = 6$$\frac{11}{36}$$ = $$\frac{227}{36}$$ 4) 30 - 29$$\frac{1}{7}$$ = 30 - $$\frac{204}{7}$$ = $$\frac{30\cdot7}{7}$$ - $$\frac{204}{7}$$ = $$\frac{210}{7}$$ - $$\frac{204}{7}$$ = $$\frac{6}{7}$$ 5) 3$$\frac{1}{7}$$-$$\frac{23}{28}$$ = 3$$\frac{4}{28}$$-$$\frac{23}{28}$$ = 2$$\frac{32}{28}$$-$$\frac{23}{28}$$ = 2$$\frac{9}{28}$$ = $$\frac{65}{28}$$ 6) $$\frac{82}{9}$$ - $$\frac{209}{24}$$ + $$\frac{227}{36}$$ + $$\frac{6}{7}$$ + $$\frac{65}{28}$$ = $$\frac{82\cdot28}{9\cdot28}$$ - $$\frac{209\cdot(21/2)}{24\cdot(21/2)}$$ + $$\frac{227\cdot7}{36\cdot7}$$ + $$\frac{6\cdot36}{7\cdot36}$$ + $$\frac{65\cdot9}{28\cdot9}$$ = $$\frac{2296}{252}$$ - $$\frac{2194.5}{252}$$ + $$\frac{1589}{252}$$ + $$\frac{216}{252}$$ + $$\frac{585}{252}$$ = $$\frac{2296 - 2194.5 + 1589 + 216 + 585}{252}$$ = $$\frac{2491.5}{252}$$ = 9.8869047619 Ответ: 9.8869047619