Вопрос:

Реши примеры с дробями: -(-39/18) + (-33/6 - (-7/21 - 33/5)) - 44/13

Фотография

Ответ ассистента

21.1 $-(- \frac{39}{18}) + (- \frac{33}{6} - (- \frac{7}{21} - \frac{33}{5})) - \frac{44}{13})= \frac{39}{18} - \frac{33}{6} + ( \frac{7}{21} - \frac{33}{5}) - \frac{44}{13}= \frac{13}{6} - \frac{11}{2} + \frac{1}{3} - \frac{33}{5} - \frac{44}{13} = \frac{65 - 165 + 10 - 396 - 660}{30} = -\frac{1186}{30} = -\frac{593}{15} = -39 \frac{8}{15}$ 21.2 $- (\frac{21}{15} + \frac{45}{18} + \frac{13}{21} + \frac{18}{20})= - (\frac{7}{5} + \frac{5}{2} + \frac{13}{21} + \frac{9}{10}) = - \frac{294 + 525 + 130 + 189}{210} = - \frac{1138}{210} = -\frac{569}{105} = -5 \frac{44}{105}$ 21.3 $- (-\frac{10}{4} - (-\frac{26}{5} + \frac{24}{11}) - \frac{17}{22}) = \frac{10}{4} + (-\frac{26}{5} + \frac{24}{11}) + \frac{17}{22} = \frac{5}{2} - \frac{26}{5} + \frac{24}{11} + \frac{17}{22} = \frac{5}{2} - \frac{26}{5} + \frac{48 + 17}{22} = \frac{5}{2} - \frac{26}{5} + \frac{65}{22} = \frac{275 - 572 + 325}{110} = \frac{28}{110} = \frac{14}{55}$ 21.4 $- (-\frac{22}{10} - \frac{30}{18} - \frac{11}{4}) - (-\frac{44}{20}) = \frac{22}{10} + \frac{30}{18} + \frac{11}{4} - \frac{44}{20} = \frac{11}{5} + \frac{5}{3} + \frac{11}{4} - \frac{11}{5} = \frac{5}{3} + \frac{11}{4} = \frac{20 + 33}{12} = \frac{53}{12} = 4 \frac{5}{12}$ 21.5 $- (-\frac{14}{3}) - \frac{38}{18} + (-\frac{25}{14} - \frac{14}{3}) - (-\frac{40}{9}) = \frac{14}{3} - \frac{19}{9} - \frac{25}{14} - \frac{14}{3} + \frac{40}{9} = - \frac{19}{9} - \frac{25}{14} + \frac{40}{9} = \frac{21}{9} - \frac{25}{14} = \frac{7}{3} - \frac{25}{14} = \frac{98 - 75}{42} = \frac{23}{42}$ 21.6 $- (-\frac{4}{24} - (\frac{16}{20} - \frac{46}{12}) - \frac{7}{6}) = \frac{4}{24} + (\frac{16}{20} - \frac{46}{12}) + \frac{7}{6} = \frac{1}{6} + \frac{4}{5} - \frac{23}{6} + \frac{7}{6} = \frac{1}{6} + \frac{4}{5} - \frac{23}{6} + \frac{7}{6} = \frac{5 + 24 - 115 + 35}{30} = - \frac{51}{30} = - \frac{17}{10} = -1 \frac{7}{10}$ 21.7 $- (-\frac{13}{8}) + \frac{42}{9} - \frac{5}{24} + \frac{17}{8} + \frac{17}{24} = \frac{13}{8} + \frac{14}{3} - \frac{5}{24} + \frac{17}{8} + \frac{17}{24} = \frac{30}{8} + \frac{14}{3} + \frac{12}{24} = \frac{15}{4} + \frac{14}{3} + \frac{1}{2} = \frac{45 + 56 + 6}{12} = \frac{107}{12} = 8 \frac{11}{12}$ 21.8 $- (-\frac{11}{6} - \frac{4}{20} + \frac{9}{20}) - (-\frac{35}{14}) = \frac{11}{6} + \frac{4}{20} - \frac{9}{20} - \frac{35}{14} = \frac{11}{6} + \frac{1}{5} - \frac{9}{20} - \frac{5}{2} = \frac{11}{6} - \frac{1}{4} - \frac{5}{2} = \frac{22 - 3 - 30}{12} = - \frac{11}{12}$

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