Вопрос:

337. Выполните умножение: 1) \(9 \frac{3}{5} \cdot \frac{5}{22}\), 2) \(6 \frac{3}{8} \cdot \frac{16}{17}\), 3) \(2 \frac{1}{5} \cdot 1 \frac{1}{3}\), 4) \(19 \frac{1}{2} \cdot \frac{5}{9}\), 5) \(2 \frac{1}{4} \cdot 2 \frac{2}{27}\), 6) \(2 \frac{8}{11} \cdot 5 \frac{5}{15}\), 7) \(9 \frac{2}{9} \cdot 1 \frac{1}{14}\), 8) \(2 \frac{3}{24} \cdot 1 \frac{5}{5}\)

Ответ:

1) \(9 \frac{3}{5} \cdot \frac{5}{22} = \frac{48}{5} \cdot \frac{5}{22} = \frac{48 \cdot 5}{5 \cdot 22} = \frac{24}{11} = 2 \frac{2}{11}\) 2) \(6 \frac{3}{8} \cdot \frac{16}{17} = \frac{51}{8} \cdot \frac{16}{17} = \frac{51 \cdot 16}{8 \cdot 17} = \frac{3 \cdot 2}{1 \cdot 1} = 6\) 3) \(2 \frac{1}{5} \cdot 1 \frac{1}{3} = \frac{11}{5} \cdot \frac{4}{3} = \frac{11 \cdot 4}{5 \cdot 3} = \frac{44}{15} = 2 \frac{14}{15}\) 4) \(19 \frac{1}{2} \cdot \frac{5}{9} = \frac{39}{2} \cdot \frac{5}{9} = \frac{39 \cdot 5}{2 \cdot 9} = \frac{13 \cdot 5}{2 \cdot 3} = \frac{65}{6} = 10 \frac{5}{6}\) 5) \(2 \frac{1}{4} \cdot 2 \frac{2}{27} = \frac{9}{4} \cdot \frac{56}{27} = \frac{9 \cdot 56}{4 \cdot 27} = \frac{1 \cdot 14}{1 \cdot 3} = \frac{14}{3} = 4 \frac{2}{3}\) 6) \(2 \frac{8}{11} \cdot 5 \frac{5}{15} = \frac{30}{11} \cdot \frac{80}{15} = \frac{30 \cdot 80}{11 \cdot 15} = \frac{2 \cdot 80}{11 \cdot 1} = \frac{160}{11} = 14 \frac{6}{11}\) 7) \(9 \frac{2}{9} \cdot 1 \frac{1}{14} = \frac{83}{9} \cdot \frac{15}{14} = \frac{83 \cdot 15}{9 \cdot 14} = \frac{83 \cdot 5}{3 \cdot 14} = \frac{415}{42} = 9 \frac{37}{42}\) 8) \(2 \frac{3}{24} \cdot 1 \frac{5}{5} = \frac{51}{24} \cdot 2 = \frac{51 \cdot 2}{24} = \frac{51}{12} = \frac{17}{4} = 4 \frac{1}{4}\)
Убрать каракули
Смотреть решения всех заданий с фото

Похожие