5.29 Вычислите значение выражения: a) 4 2/15 – 3 3/10 – 2 1/6; б) 7 5/21 – 14 1/7 + 6 1/14; в) 24 2/35 – 18 5/14 – 5 3/10; г) 1 2/9 + 2 5/6 – 35 1/5.

a) 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} = \frac{152}{21} - \frac{99}{7} + \frac{85}{14} = \frac{304}{42} - \frac{594}{42} + \frac{255}{42} = \frac{304 - 594 + 255}{42} = \frac{-35}{42} = -\frac{5}{6} = -\frac{5}{6} в) 24 \frac{2}{35} – 18 \frac{5}{14} – 5 \frac{3}{10} = \frac{842}{35} - \frac{257}{14} - \frac{53}{10} = \frac{1684}{70} - \frac{1285}{70} - \frac{371}{70} = \frac{1684 - 1285 - 371}{70} = \frac{28}{70} = \frac{2}{5} = \frac{2}{5} г) 1 \frac{2}{9} + 2 \frac{5}{6} – 35 \frac{1}{5} = \frac{11}{9} + \frac{17}{6} - \frac{176}{5} = \frac{110}{90} + \frac{255}{90} - \frac{3168}{90} = \frac{110 + 255 - 3168}{90} = \frac{-2803}{90} = -31 \frac{13}{90} = -31 \frac{13}{90}