5.415 Вычислите:

Решение:

1. \( \frac{1}{2} + \frac{3}{4} + \frac{5}{8} = \frac{4}{8} + \frac{6}{8} + \frac{5}{8} = \frac{15}{8} = 1\frac{7}{8} \)
2. \( \frac{5}{8} + \frac{1}{3} + \frac{7}{12} = \frac{15}{24} + \frac{8}{24} + \frac{14}{24} = \frac{37}{24} = 1\frac{13}{24} \)
3. \( \frac{23}{24} - \frac{5}{12} - \frac{1}{6} = \frac{23}{24} - \frac{10}{24} - \frac{4}{24} = \frac{13}{24} - \frac{4}{24} = \frac{9}{24} = \frac{3}{8} \)
4. \( \frac{5}{6} - \frac{1}{8} + \frac{5}{12} = \frac{20}{24} - \frac{3}{24} + \frac{10}{24} = \frac{17}{24} + \frac{10}{24} = \frac{27}{24} = \frac{9}{8} = 1\frac{1}{8} \)

Ответ: a) \( 1\frac{7}{8} \), б) \( 1\frac{13}{24} \), в) \( \frac{3}{8} \), г) \( 1\frac{1}{8} \).