Вопрос:

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

Смотреть решения всех заданий с листа

Ответ:

1) \(9\frac{3}{7} \cdot \frac{5}{22} = \frac{66}{7} \cdot \frac{5}{22} = \frac{66 \cdot 5}{7 \cdot 22} = \frac{330}{154} = \frac{15}{7} = 2\frac{1}{7}\) 2) \(6\frac{8}{17} \cdot \frac{3}{16} = \frac{110}{17} \cdot \frac{3}{16} = \frac{110 \cdot 3}{17 \cdot 16} = \frac{330}{272} = \frac{165}{136} = 1\frac{29}{136}\) 3) \(2\frac{1}{3} \cdot 1\frac{1}{5} = \frac{7}{3} \cdot \frac{6}{5} = \frac{7 \cdot 6}{3 \cdot 5} = \frac{42}{15} = \frac{14}{5} = 2\frac{4}{5}\) 4) \(19\frac{1}{2} \cdot 1\frac{5}{9} = \frac{39}{2} \cdot \frac{14}{9} = \frac{39 \cdot 14}{2 \cdot 9} = \frac{546}{18} = \frac{91}{3} = 30\frac{1}{3}\) 5) \(2\frac{1}{4} \cdot 2\frac{2}{27} = \frac{9}{4} \cdot \frac{56}{27} = \frac{9 \cdot 56}{4 \cdot 27} = \frac{504}{108} = \frac{14}{3} = 4\frac{2}{3}\) 6) \(2\frac{8}{11} \cdot 5\frac{2}{15} = \frac{30}{11} \cdot \frac{77}{15} = \frac{30 \cdot 77}{11 \cdot 15} = \frac{2310}{165} = 14\) 7) \(\frac{7}{9} \cdot 1\frac{1}{14} \cdot \frac{2}{5} = \frac{7}{9} \cdot \frac{15}{14} \cdot \frac{2}{5} = \frac{7 \cdot 15 \cdot 2}{9 \cdot 14 \cdot 5} = \frac{210}{630} = \frac{1}{3}\) 8) \(2\frac{1}{3} \cdot 1\frac{1}{24} \cdot \frac{5}{7} = \frac{7}{3} \cdot \frac{25}{24} \cdot \frac{5}{7} = \frac{7 \cdot 25 \cdot 5}{3 \cdot 24 \cdot 7} = \frac{875}{504} = \frac{125}{72} = 1\frac{53}{72}\) Ответ: 1) \(2\frac{1}{7}\); 2) \(1\frac{29}{136}\); 3) \(2\frac{4}{5}\); 4) \(30\frac{1}{3}\); 5) \(4\frac{2}{3}\); 6) 14; 7) \(\frac{1}{3}\); 8) \(1\frac{53}{72}\)
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