Задание 3. Вариант 2. Выполните действия: а) \(\frac{5}{16} + \frac{11}{12}\); б) \(\frac{7}{24} - \frac{5}{18}\); в) \(1 \frac{1}{5} + 2 \frac{3}{10}\); г) \(\frac{7}{15} - \frac{1}{6} - \frac{1}{10}\)

**Решение:** * **а) \(\frac{5}{16} + \frac{11}{12}\):** НОК(16, 12) = 48. \(\frac{5}{16} = \frac{5 \times 3}{16 \times 3} = \frac{15}{48}\). \(\frac{11}{12} = \frac{11 \times 4}{12 \times 4} = \frac{44}{48}\). \(\frac{15}{48} + \frac{44}{48} = \frac{59}{48} = 1 \frac{11}{48}\) * **б) \(\frac{7}{24} - \frac{5}{18}\):** НОК(24, 18) = 72. \(\frac{7}{24} = \frac{7 \times 3}{24 \times 3} = \frac{21}{72}\). \(\frac{5}{18} = \frac{5 \times 4}{18 \times 4} = \frac{20}{72}\). \(\frac{21}{72} - \frac{20}{72} = \frac{1}{72}\) * **в) \(1 \frac{1}{5} + 2 \frac{3}{10}\):** \(1 \frac{1}{5} = 1 \frac{2}{10}\). \(1 \frac{2}{10} + 2 \frac{3}{10} = 3 \frac{5}{10} = 3 \frac{1}{2}\) * **г) \(\frac{7}{15} - \frac{1}{6} - \frac{1}{10}\):** НОК(15, 6, 10) = 30. \(\frac{7}{15} = \frac{7 \times 2}{15 \times 2} = \frac{14}{30}\). \(\frac{1}{6} = \frac{1 \times 5}{6 \times 5} = \frac{5}{30}\). \(\frac{1}{10} = \frac{1 \times 3}{10 \times 3} = \frac{3}{30}\). \(\frac{14}{30} - \frac{5}{30} - \frac{3}{30} = \frac{6}{30} = \frac{1}{5}\) **Ответ:** а) \(1 \frac{11}{48}\); б) \(\frac{1}{72}\); в) \(3 \frac{1}{2}\); г) \(\frac{1}{5}\)