Решение примеров

1. $$\frac{23}{24} - (\frac{1}{6} + \frac{7}{4}) = $$ $$\frac{1}{6} + \frac{7}{4} = \frac{2}{12} + \frac{21}{12} = \frac{23}{12}$$ $$\frac{23}{24} - \frac{23}{12} = \frac{23}{24} - \frac{46}{24} = -\frac{23}{24}$$ $$\frac{23}{24} - (\frac{1}{6} + \frac{7}{4}) = -\frac{23}{24}$$ Ответ: $$\frac{-23}{24}$$
2. $$\frac{4}{35} + (\frac{3}{5} - \frac{4}{7}) = $$ $$\frac{3}{5} - \frac{4}{7} = \frac{21}{35} - \frac{20}{35} = \frac{1}{35}$$ $$\frac{4}{35} + \frac{1}{35} = \frac{5}{35} = \frac{1}{7}$$ $$\frac{4}{35} + (\frac{3}{5} - \frac{4}{7}) = \frac{1}{7}$$ Ответ: $$\frac{1}{7}$$
3. $$\frac{11}{15} - (\frac{2}{3} - \frac{3}{20}) = $$ $$\frac{2}{3} - \frac{3}{20} = \frac{40}{60} - \frac{9}{60} = \frac{31}{60}$$ $$\frac{11}{15} - \frac{31}{60} = \frac{44}{60} - \frac{31}{60} = \frac{13}{60}$$ $$\frac{11}{15} - (\frac{2}{3} - \frac{3}{20}) = \frac{13}{60}$$ Ответ: $$\frac{13}{60}$$
4. $$\frac{5}{18} + (\frac{2}{9} + \frac{1}{27}) = $$ $$\frac{2}{9} + \frac{1}{27} = \frac{6}{27} + \frac{1}{27} = \frac{7}{27}$$ $$\frac{5}{18} + \frac{7}{27} = \frac{15}{54} + \frac{14}{54} = \frac{29}{54}$$ $$\frac{5}{18} + (\frac{2}{9} + \frac{1}{27}) = \frac{29}{54}$$ Ответ: $$\frac{29}{54}$$
5. $$\frac{113}{725} + 0,58 - \frac{103}{725} = $$ $$\frac{113}{725} - \frac{103}{725} = \frac{10}{725}$$ $$\frac{10}{725} + 0,58 = 0,01379 + 0,58 = 0,59379$$ $$\frac{113}{725} + 0,58 - \frac{103}{725} = 0,59379$$ Ответ: $$0,59379$$