Выполните действие: а) \(\frac{1}{4} + \frac{5}{6}\); б) \(\frac{5}{6} - \frac{5}{9}\); в) \(\frac{24}{25} \cdot \frac{35}{36}\); г) \(3\frac{1}{5} : 2\frac{2}{15}\)

a) \(\frac{1}{4} + \frac{5}{6} = \frac{3}{12} + \frac{10}{12} = \frac{13}{12} = 1\frac{1}{12}\) б) \(\frac{5}{6} - \frac{5}{9} = \frac{15}{18} - \frac{10}{18} = \frac{5}{18}\) в) \(\frac{24}{25} \cdot \frac{35}{36} = \frac{24 \cdot 35}{25 \cdot 36} = \frac{6 \cdot 4 \cdot 7 \cdot 5}{5 \cdot 5 \cdot 6 \cdot 6} = \frac{4 \cdot 7}{5 \cdot 6} = \frac{28}{30} = \frac{14}{15}\) г) \(3\frac{1}{5} : 2\frac{2}{15} = \frac{16}{5} : \frac{32}{15} = \frac{16}{5} \cdot \frac{15}{32} = \frac{16 \cdot 15}{5 \cdot 32} = \frac{16 \cdot 3 \cdot 5}{5 \cdot 16 \cdot 2} = \frac{3}{2} = 1\frac{1}{2}\) Ответы: a) \(1\frac{1}{12}\); б) \(\frac{5}{18}\); в) \(\frac{14}{15}\); г) \(1\frac{1}{2}\)