Вариант 2 1. Выполните действие: 57 a) 69; 51 в) 3-13; 39 д) 816 11 7 6) 28 33 2 15 г) 2-6; e) 165. 3

a) \(\frac{5}{6} \cdot \frac{7}{9} = \frac{5 \cdot 7}{6 \cdot 9} = \frac{35}{54}\)

б) \(\frac{11}{28} \cdot \frac{7}{33} = \frac{11 \cdot 7}{28 \cdot 33} = \frac{1 \cdot 1}{4 \cdot 3} = \frac{1}{12}\)

в) \(3\frac{5}{7} : 1\frac{1}{13} = \frac{3 \cdot 7 + 5}{7} : \frac{1 \cdot 13 + 1}{13} = \frac{26}{7} : \frac{14}{13} = \frac{26}{7} \cdot \frac{13}{14} = \frac{13 \cdot 13}{7 \cdot 7} = \frac{169}{49} = 3\frac{22}{49}\)

г) \(2\frac{2}{3} \cdot 6 = \frac{2 \cdot 3 + 2}{3} \cdot 6 = \frac{8}{3} \cdot 6 = \frac{8 \cdot 6}{3} = 8 \cdot 2 = 16\)

д) \(\frac{3}{8} : \frac{9}{16} = \frac{3}{8} \cdot \frac{16}{9} = \frac{3 \cdot 16}{8 \cdot 9} = \frac{1 \cdot 2}{1 \cdot 3} = \frac{2}{3}\)

е) \(\frac{15}{16} : 5 = \frac{15}{16} \cdot \frac{1}{5} = \frac{15 \cdot 1}{16 \cdot 5} = \frac{3 \cdot 1}{16 \cdot 1} = \frac{3}{16}\)