Вычислите 5/6 - 25/49 : (3 - 1 13/14) + 1/2. Запишите решение и ответ.

Привет! Давай решим примеры по порядку. ### 24. Решение: $1) 3 - 1\frac{13}{14} = 3 - \frac{27}{14} = \frac{42}{14} - \frac{27}{14} = \frac{15}{14}$ $2) \frac{25}{49} : \frac{15}{14} = \frac{25}{49} \cdot \frac{14}{15} = \frac{5}{7} \cdot \frac{2}{3} = \frac{10}{21}$ $3) \frac{5}{6} - \frac{10}{21} = \frac{35}{42} - \frac{20}{42} = \frac{15}{42} = \frac{5}{14}$ $4) \frac{5}{14} + \frac{1}{2} = \frac{5}{14} + \frac{7}{14} = \frac{12}{14} = \frac{6}{7}$ **Ответ: 6/7** ### 25. Решение: $1) 4 - 3\frac{7}{22} = 4 - \frac{73}{22} = \frac{88}{22} - \frac{73}{22} = \frac{15}{22}$ $2) \frac{9}{8} : \frac{15}{22} = \frac{9}{8} \cdot \frac{22}{15} = \frac{3}{4} \cdot \frac{11}{5} = \frac{33}{20} = 1\frac{13}{20}$ $3) \frac{7}{30} + 1\frac{13}{20} = \frac{14}{60} + 1\frac{39}{60} = 1\frac{53}{60}$ $4) 1\frac{53}{60} - 1\frac{5}{6} = 1\frac{53}{60} - 1\frac{50}{60} = \frac{3}{60} = \frac{1}{20}$ **Ответ: 1/20** ### 26. Решение: $1) 4 - 2\frac{11}{18} = 4 - \frac{47}{18} = \frac{72}{18} - \frac{47}{18} = \frac{25}{18}$ $2) \frac{3}{5} \cdot \frac{25}{18} = \frac{1}{1} \cdot \frac{5}{6} = \frac{5}{6}$ $3) \frac{25}{12} : \frac{7}{8} = \frac{25}{12} \cdot \frac{8}{7} = \frac{25}{3} \cdot \frac{2}{7} = \frac{50}{21} = 2\frac{8}{21}$ $4) 2\frac{8}{21} - \frac{5}{6} = 2\frac{16}{42} - \frac{35}{42} = 1\frac{58}{42} - \frac{35}{42} = 1\frac{23}{42}$ **Ответ: 1 23/42** ### 27. Решение: $1) \frac{2}{21} - \frac{3}{28} = \frac{8}{84} - \frac{9}{84} = -\frac{1}{84}$ $2) 3\frac{3}{13} \cdot (-\frac{1}{84}) = \frac{42}{13} \cdot (-\frac{1}{84}) = \frac{1}{13} \cdot (-\frac{1}{2}) = -\frac{1}{26}$ $3) \frac{7}{13} - \frac{1}{26} = \frac{14}{26} - \frac{1}{26} = \frac{13}{26} = \frac{1}{2}$ $4) \frac{1}{2} - \frac{1}{5} = \frac{5}{10} - \frac{2}{10} = \frac{3}{10}$ **Ответ: 3/10 (или 0,3)** ### 28. Решение: $1) \frac{7}{12} + \frac{5}{6} = \frac{7}{12} + \frac{10}{12} = \frac{17}{12} = 1\frac{5}{12}$ $2) 1\frac{5}{12} : 2\frac{5}{6} = \frac{17}{12} : \frac{17}{6} = \frac{17}{12} \cdot \frac{6}{17} = \frac{1}{2}$ $3) -1 + \frac{1}{2} = -\frac{1}{2}$ $4) -\frac{1}{2} - \frac{2}{3} = -\frac{3}{6} - \frac{4}{6} = -\frac{7}{6} = -1\frac{1}{6}$ **Ответ: -1 1/6** ### 29. Решение: $1) \frac{3}{14} - 4\frac{13}{28} = \frac{6}{28} - \frac{125}{28} = -\frac{119}{28} = -4\frac{7}{28} = -4\frac{1}{4}$ $2) 2\frac{2}{3} \cdot (-4\frac{1}{4}) = \frac{8}{3} \cdot (-\frac{17}{4}) = \frac{2}{3} \cdot (-17) = -\frac{34}{3} = -11\frac{1}{3}$ $3) 6 : \frac{18}{23} = 6 \cdot \frac{23}{18} = \frac{23}{3} = 7\frac{2}{3}$ $4) 7\frac{2}{3} - 11\frac{1}{3} = 7\frac{2}{3} - 11\frac{1}{3} = -3\frac{2}{3}$ **Ответ: -3 2/3**