в) 4,4 - (а - 5,6) = 100; 29 Вычислите значение выражения: e) -5 \frac{4}{7} + (-\frac{5}{14}) a) 4 \frac{2}{15} - 3 \frac{3}{10} - 2 \frac{1}{6}; в) 24 \frac{2}{35} - 18 \frac{5}{14} - 5 \frac{3}{10}; б) 7 \frac{5}{21} - 14 \frac{1}{7} + 6 \frac{1}{14}; г) 1 \frac{2}{9} + 2 \frac{5}{6} - 35 \frac{1}{5}.

Решение:

а) 4\frac{2}{15} - 3\frac{3}{10} - 2\frac{1}{6} = \frac{62}{15} - \frac{33}{10} - \frac{13}{6} = \frac{124}{30} - \frac{99}{30} - \frac{65}{30} = \frac{124-99-65}{30} = \frac{-40}{30} = -\frac{4}{3} = -1\frac{1}{3}

б) 7\frac{5}{21} - 14\frac{1}{7} + 6\frac{1}{14} = 7\frac{5}{21} - 14\frac{3}{21} + 6\frac{1}{14} = 7 - 14 + 6 + \frac{5}{21} - \frac{3}{21} +\frac{1}{14} = -1 + \frac{2}{21} + \frac{1}{14} = -1 + \frac{4}{42} + \frac{3}{42} = -1 + \frac{7}{42} = -1 + \frac{1}{6} = -\frac{5}{6}

в) 24\frac{2}{35} - 18\frac{5}{14} - 5\frac{3}{10} = 24\frac{4}{70} - 18\frac{25}{70} - 5\frac{21}{70} = 24 - 18 - 5 + \frac{4}{70} - \frac{25}{70} - \frac{21}{70} = 1 + \frac{4 - 25 - 21}{70} = 1 - \frac{42}{70} = 1 - \frac{3}{5} = \frac{2}{5}

г) 1\frac{2}{9} + 2\frac{5}{6} - 35\frac{1}{5} = 1\frac{4}{18} + 2\frac{15}{18} - 35\frac{1}{5} = 1 + 2 - 35 + \frac{4}{18} + \frac{15}{18} - \frac{1}{5} = -32 + \frac{19}{18} - \frac{1}{5} = -32 + 1\frac{1}{18} - \frac{1}{5} = -31 + \frac{1}{18} - \frac{1}{5} = -31 + \frac{5}{90} - \frac{18}{90} = -31 - \frac{13}{90} = -31\frac{13}{90}

e) -5\frac{4}{7} + (-\frac{5}{14}) = -5\frac{8}{14} - \frac{5}{14} = -5\frac{13}{14}