Давай выполним вычисления по порядку.
а) \[ \frac{1}{3} + \frac{5}{6} = \frac{2}{6} + \frac{5}{6} = \frac{7}{6} = 1\frac{1}{6} \]
б) \[ \frac{9}{10} - \frac{4}{5} = \frac{9}{10} - \frac{8}{10} = \frac{1}{10} \]
д) \[ \frac{1}{18} + \frac{5}{6} = \frac{1}{18} + \frac{15}{18} = \frac{16}{18} = \frac{8}{9} \]
з) \[ \frac{5}{6} - \frac{1}{2} = \frac{5}{6} - \frac{3}{6} = \frac{2}{6} = \frac{1}{3} \]
г) \[ \frac{5}{6} - \frac{5}{12} = \frac{10}{12} - \frac{5}{12} = \frac{5}{12} \]
e) \[ \frac{5}{12} + \frac{3}{4} = \frac{5}{12} + \frac{9}{12} = \frac{14}{12} = \frac{7}{6} = 1\frac{1}{6} \]
Выполните действия:
\[ \frac{7}{9} - \frac{5}{12} = \frac{28}{36} - \frac{15}{36} = \frac{13}{36} \]
в) \[ \frac{5}{6} + \frac{7}{8} = \frac{20}{24} + \frac{21}{24} = \frac{41}{24} = 1\frac{17}{24} \]
д) \[ 13\frac{21}{22} - 11\frac{3}{55} = 13\frac{105}{110} - 11\frac{6}{110} = 2\frac{99}{110} = 2\frac{9}{10} \]
\[ \frac{11}{12} - \frac{11}{20} = \frac{55}{60} - \frac{33}{60} = \frac{22}{60} = \frac{11}{30} \]
г) \[ \frac{17}{21} - \frac{8}{15} = \frac{85}{105} - \frac{56}{105} = \frac{29}{105} \]
e) \[ 8\frac{5}{40} + 7\frac{10}{60} = 8\frac{1}{8} + 7\frac{1}{6} = 8\frac{3}{24} + 7\frac{4}{24} = 15\frac{7}{24} \]
Найдите значение выражения:
\[ \frac{23}{30} - (\frac{1}{6} + \frac{2}{5}) = \frac{23}{30} - (\frac{5}{30} + \frac{12}{30}) = \frac{23}{30} - \frac{17}{30} = \frac{6}{30} = \frac{1}{5} \]
б) \[ \frac{11}{42} + (\frac{3}{7} - \frac{1}{6}) = \frac{11}{42} + (\frac{18}{42} - \frac{7}{42}) = \frac{11}{42} + \frac{11}{42} = \frac{22}{42} = \frac{11}{21} \]
Ответ: Выше приведены решения всех заданий.