Вычисли выражения: a) 6 1/6 - (1 - 17/18)

- a) $6 \frac{1}{6} - (1 - \frac{17}{18}) = \frac{37}{6} - \frac{1}{18} = \frac{111}{18} - \frac{1}{18} = \frac{110}{18} = \frac{55}{9} = 6\frac{1}{9}$ - b) $7\frac{14}{25} - (3\frac{8}{15} + 1\frac{9}{10}) = \frac{189}{25} - (\frac{53}{15} + \frac{19}{10}) = \frac{189}{25} - (\frac{106}{30} + \frac{57}{30}) = \frac{189}{25} - \frac{163}{30} = \frac{1134}{150} - \frac{815}{150} = \frac{319}{150} = 2 \frac{19}{150}$ - c) $8 - (\frac{11}{14} - \frac{13}{21}) = 8 - (\frac{33}{42} - \frac{26}{42}) = 8 - \frac{7}{42} = 8 - \frac{1}{6} = \frac{48}{6} - \frac{1}{6} = \frac{47}{6} = 7\frac{5}{6}$ - d) $6\frac{3}{16} - 2\frac{5}{24} - 3\frac{11}{12} = \frac{99}{16} - \frac{53}{24} - \frac{47}{12} = \frac{297}{48} - \frac{106}{48} - \frac{188}{48} = \frac{3}{48} = \frac{1}{16}$