378. Найдите значение выражения: a) $$\frac{1}{4} - (1 - \frac{11}{12})$$; б) $$2 - (\frac{13}{33} - \frac{5}{22})$$; в) $$6\frac{3}{16} - (2\frac{3}{8} + 3\frac{5}{12})$$; г) $$8\frac{1}{12} - 3\frac{4}{15} - 1\frac{7}{30}$$; д) $$(13 - 8\frac{5}{12}) + (17\frac{1}{2} - 16\frac{1}{5})$$; е) $$(63\frac{2}{3} + 3\frac{1}{8}) - (13 - 10\frac{5}{9})$$;

Решение: a) $$\frac{1}{4} - (1 - \frac{11}{12}) = \frac{1}{4} - (\frac{12}{12} - \frac{11}{12}) = \frac{1}{4} - \frac{1}{12} = \frac{3}{12} - \frac{1}{12} = \frac{2}{12} = \frac{1}{6}$$ Ответ: $$\frac{1}{6}$$ б) $$2 - (\frac{13}{33} - \frac{5}{22}) = 2 - (\frac{26}{66} - \frac{15}{66}) = 2 - \frac{11}{66} = 2 - \frac{1}{6} = \frac{12}{6} - \frac{1}{6} = \frac{11}{6} = 1\frac{5}{6}$$ Ответ: $$1\frac{5}{6}$$ в) $$6\frac{3}{16} - (2\frac{3}{8} + 3\frac{5}{12}) = 6\frac{3}{16} - (2\frac{9}{24} + 3\frac{10}{24}) = 6\frac{3}{16} - 5\frac{19}{24} = 6\frac{9}{48} - 5\frac{38}{48} = 5\frac{57}{48} - 5\frac{38}{48} = \frac{19}{48}$$ Ответ: $$\frac{19}{48}$$ г) $$8\frac{1}{12} - 3\frac{4}{15} - 1\frac{7}{30} = 8\frac{5}{60} - 3\frac{16}{60} - 1\frac{14}{60} = 8\frac{5}{60} - 4\frac{30}{60} = 7\frac{65}{60} - 4\frac{30}{60} = 3\frac{35}{60} = 3\frac{7}{12}$$ Ответ: $$3\frac{7}{12}$$ д) $$(13 - 8\frac{5}{12}) + (17\frac{1}{2} - 16\frac{1}{5}) = (12\frac{12}{12} - 8\frac{5}{12}) + (17\frac{5}{10} - 16\frac{2}{10}) = 4\frac{7}{12} + 1\frac{3}{10} = 4\frac{35}{60} + 1\frac{18}{60} = 5\frac{53}{60}$$ Ответ: $$5\frac{53}{60}$$ е) $$(63\frac{2}{3} + 3\frac{1}{8}) - (13 - 10\frac{5}{9}) = (63\frac{16}{24} + 3\frac{3}{24}) - (12\frac{9}{9} - 10\frac{5}{9}) = 66\frac{19}{24} - 2\frac{4}{9} = 66\frac{57}{72} - 2\frac{32}{72} = 64\frac{25}{72}$$ Ответ: $$64\frac{25}{72}$$