Вычислите значение выражения: а) \(\left(12\frac{1}{3}-11\frac{1}{4}\right)+\left(14-9\frac{8}{15}\right)\); б) \(\left(15-12\frac{5}{8}\right)-\left(13\frac{1}{2}-11\frac{2}{9}\right)\); в) \(\left(14\frac{2}{3}-5\frac{5}{9}\right)-\left(3\frac{7}{8}+4\frac{5}{6}\right)+\left(10\frac{3}{4}-4\frac{4}{9}\right)\); г) \(\left(14\frac{5}{7}-14\right)+\left(30-29\frac{5}{7}\right)+\left(3\frac{1}{7}-\frac{23}{28}\right)\).

а)

\(12\frac{1}{3}-11\frac{1}{4}=1\frac{1}{12}\),
\(14-9\frac{8}{15}=4\frac{7}{15}\).

\[1\frac{1}{12}+4\frac{7}{15}=5+\frac{5}{60}+\frac{28}{60}=5\frac{11}{20}.\]

б)

\(15-12\frac{5}{8}=2\frac{3}{8}\),
\(13\frac{1}{2}-11\frac{2}{9}=2\frac{1}{2}-\frac{2}{9}=\frac{41}{18}\).

\[2\frac{3}{8}-\frac{41}{18}=\frac{19}{8}-\frac{41}{18}=\frac{171-164}{72}=\frac{7}{72}.\]

в)

\[14\frac{2}{3}-5\frac{5}{9}=\frac{82}{9},\quad 3\frac{7}{8}+4\frac{5}{6}=\frac{209}{24},\quad 10\frac{3}{4}-4\frac{4}{9}=\frac{227}{36}.\]

\[\frac{82}{9}-\frac{209}{24}+\frac{227}{36}=\frac{656-627+454}{72}=\frac{483}{72}=6\frac{17}{24}.\]

г)

\[14\frac{5}{7}-14=\frac{5}{7},\quad 30-29\frac{5}{7}=\frac{2}{7},\quad 3\frac{1}{7}-\frac{23}{28}=\frac{65}{28}.\]

\[\frac{5}{7}+\frac{2}{7}+\frac{65}{28}=1+\frac{65}{28}=3\frac{9}{28}.\]

Ответ: а) \(5\frac{11}{20}\); б) \(\frac{7}{72}\); в) \(6\frac{17}{24}\); г) \(3\frac{9}{28}\).