Выполните действия:
а) \(\frac{3}{5} + \frac{6}{7} = \frac{21}{35} + \frac{30}{35} = \frac{51}{35} = 1\frac{16}{35}\)
б) \(\frac{5}{6} + \frac{1}{4} = \frac{10}{12} + \frac{3}{12} = \frac{13}{12} = 1\frac{1}{12}\)
в) \(\frac{7}{8} - \frac{5}{6} = \frac{21}{24} - \frac{20}{24} = \frac{1}{24}\)
г) \(\frac{3}{10} - \frac{4}{15} = \frac{9}{30} - \frac{8}{30} = \frac{1}{30}\)
д) \(1\frac{2}{3} + \frac{5}{6} = 1\frac{4}{6} + \frac{5}{6} = 1\frac{9}{6} = 1 + \frac{6}{6} + \frac{3}{6} = 1 + 1 + \frac{1}{2} = 2\frac{1}{2}\)
е) \(5 - 3\frac{2}{7} = 4\frac{7}{7} - 3\frac{2}{7} = 1\frac{5}{7}\)
ж) \(\frac{4}{9} \cdot \frac{3}{8} = \frac{4 \cdot 3}{9 \cdot 8} = \frac{1 \cdot 1}{3 \cdot 2} = \frac{1}{6}\)
з) \(\frac{5}{8} : \frac{9}{10} = \frac{5}{8} \cdot \frac{10}{9} = \frac{5 \cdot 10}{8 \cdot 9} = \frac{5 \cdot 5}{4 \cdot 9} = \frac{25}{36}\)
и) \(1\frac{1}{9} \cdot 1\frac{1}{2} = \frac{10}{9} \cdot \frac{3}{2} = \frac{10 \cdot 3}{9 \cdot 2} = \frac{5 \cdot 1}{3 \cdot 1} = \frac{5}{3} = 1\frac{2}{3}\)
к) \(2\frac{6}{7} : 1\frac{3}{7} = \frac{20}{7} : \frac{10}{7} = \frac{20}{7} \cdot \frac{7}{10} = \frac{20 \cdot 7}{7 \cdot 10} = \frac{2 \cdot 1}{1 \cdot 1} = 2\)
л) \(6\frac{3}{5} \cdot 10 = 6,6 \cdot 10 = 66\)
м) \(3\frac{2}{3} : \frac{1}{6} = \frac{11}{3} : \frac{1}{6} = \frac{11}{3} \cdot \frac{6}{1} = \frac{66}{3} = \frac{22}{1} = 22\)