6) Посчитать: а) \(\frac{1}{6} + \frac{2}{3} =\) б) \(\frac{3}{5} - \frac{1}{4} =\) в) \(\frac{7}{8} \cdot \frac{16}{7} =\) г) \(\frac{15}{2} : \frac{5}{12} =\) д) \((3\frac{1}{2} - 2\frac{1}{4}) \cdot 8 + \frac{5}{2} =\)

Решение: а) \(\frac{1}{6} + \frac{2}{3} = \frac{1}{6} + \frac{4}{6} = \frac{5}{6}\) б) \(\frac{3}{5} - \frac{1}{4} = \frac{12}{20} - \frac{5}{20} = \frac{7}{20}\) в) \(\frac{7}{8} \cdot \frac{16}{7} = \frac{7 \cdot 16}{8 \cdot 7} = \frac{16}{8} = 2\) г) \(\frac{15}{2} : \frac{5}{12} = \frac{15}{2} \cdot \frac{12}{5} = \frac{15 \cdot 12}{2 \cdot 5} = \frac{3 \cdot 6}{1 \cdot 1} = 18\) д) \((3\frac{1}{2} - 2\frac{1}{4}) \cdot 8 + \frac{5}{2} = (\frac{7}{2} - \frac{9}{4}) \cdot 8 + \frac{5}{2} = (\frac{14}{4} - \frac{9}{4}) \cdot 8 + \frac{5}{2} = \frac{5}{4} \cdot 8 + \frac{5}{2} = 5 \cdot 2 + \frac{5}{2} = 10 + \frac{5}{2} = \frac{20}{2} + \frac{5}{2} = \frac{25}{2} = 12\frac{1}{2}\) Ответ: а) \(\frac{5}{6}\) б) \(\frac{7}{20}\) в) 2 г) 18 д) \(12\frac{1}{2}\)