ФИО: Задание 1. Вычислите: a) 2\frac{1}{3}+1\frac{1}{6} b) 3\frac{1}{5}-2\frac{1}{2} c) \frac{4}{9} \cdot \frac{3}{8} d) (2\frac{1}{2}-1\frac{1}{6}) \cdot \frac{6}{7}

Задание 1. Вычислите:

1. a) \( 2\frac{1}{3}+1\frac{1}{6} \)
2. b) \( 3\frac{1}{5}-2\frac{1}{2} \)
3. c) \( \frac{4}{9} \cdot \frac{3}{8} \)
4. d) \( (2\frac{1}{2}-1\frac{1}{6}) \cdot \frac{6}{7} \)

Решение:

1. a) \( 2\frac{1}{3}+1\frac{1}{6} = \frac{7}{3} + \frac{7}{6} = \frac{14}{6} + \frac{7}{6} = \frac{21}{6} = \frac{7}{2} = 3\frac{1}{2} \)
2. b) \( 3\frac{1}{5}-2\frac{1}{2} = \frac{16}{5} - \frac{5}{2} = \frac{32}{10} - \frac{25}{10} = \frac{7}{10} \)
3. c) \( \frac{4}{9} \cdot \frac{3}{8} = \frac{4 \cdot 3}{9 \cdot 8} = \frac{12}{72} = \frac{1}{6} \)
4. d) \( (2\frac{1}{2}-1\frac{1}{6}) \cdot \frac{6}{7} = (\frac{5}{2} - \frac{7}{6}) \cdot \frac{6}{7} = (\frac{15}{6} - \frac{7}{6}) \cdot \frac{6}{7} = \frac{8}{6} \cdot \frac{6}{7} = \frac{8 \cdot 6}{6 \cdot 7} = \frac{8}{7} = 1\frac{1}{7} \)

Ответ: a) \(3\frac{1}{2}\); b) \(\frac{7}{10}\); c) \(\frac{1}{6}\); d) \(1\frac{1}{7}\)