Вопрос:

1). 2\(\frac{2}{15}\cdot1\frac{1}{16}=\) 2). 8\(\frac{3}{4}\cdot1\frac{3}{14}=\) 3). 1\(\frac{7}{8}\cdot1\frac{1}{15}=\) 4). 5\(\frac{3}{15}\cdot2\frac{5}{14}\) 5). 2\(\frac{1}{42}\cdot1\frac{7}{17}\cdot\frac{7}{12}=\) 6). 3\(\frac{1}{3}:2\frac{6}{7}=\) 7). 7\(\frac{5}{7}:3\frac{3}{5}=\) 8). 8\(\frac{4}{9}:3\frac{1}{3}\) 9). 2\(\frac{2}{3}:2\frac{2}{7}=\) 10). 3\(\frac{1}{3}:3\frac{3}{4}=\)

Смотреть решения всех заданий с листа

Ответ:

1) \(2\frac{2}{15}\cdot1\frac{1}{16}=\frac{32}{15}\cdot\frac{17}{16}=\frac{2\cdot17}{15}=\frac{34}{15}=2\frac{4}{15}\)

2) \(8\frac{3}{4}\cdot1\frac{3}{14}=\frac{35}{4}\cdot\frac{17}{14}=\frac{5\cdot17}{4\cdot2}=\frac{85}{8}=10\frac{5}{8}\)

3) \(1\frac{7}{8}\cdot1\frac{1}{15}=\frac{15}{8}\cdot\frac{16}{15}=\frac{16}{8}=2\)

4) \(5\frac{3}{15}\cdot2\frac{5}{14}=5\frac{1}{5}\cdot2\frac{5}{14}=\frac{26}{5}\cdot\frac{33}{14}=\frac{13\cdot33}{5\cdot7}=\frac{429}{35}=12\frac{9}{35}\)

5) \(2\frac{1}{42}\cdot1\frac{7}{17}\cdot\frac{7}{12}=\frac{85}{42}\cdot\frac{24}{17}\cdot\frac{7}{12}=\frac{5}{3}\cdot\frac{2}{1}\cdot\frac{1}{6}=\frac{5}{9}\)

6) \(3\frac{1}{3}:2\frac{6}{7}=\frac{10}{3}:\frac{20}{7}=\frac{10}{3}\cdot\frac{7}{20}=\frac{7}{6}=1\frac{1}{6}\)

7) \(7\frac{5}{7}:3\frac{3}{5}=\frac{54}{7}:\frac{18}{5}=\frac{54}{7}\cdot\frac{5}{18}=\frac{3\cdot5}{7}=\frac{15}{7}=2\frac{1}{7}\)

8) \(8\frac{4}{9}:3\frac{1}{3}=\frac{76}{9}:\frac{10}{3}=\frac{76}{9}\cdot\frac{3}{10}=\frac{38}{3}\cdot\frac{1}{5}=\frac{38}{15}=2\frac{8}{15}\)

9) \(2\frac{2}{3}:2\frac{2}{7}=\frac{8}{3}:\frac{16}{7}=\frac{8}{3}\cdot\frac{7}{16}=\frac{7}{6}=1\frac{1}{6}\)

10) \(3\frac{1}{3}:3\frac{3}{4}=\frac{10}{3}:\frac{15}{4}=\frac{10}{3}\cdot\frac{4}{15}=\frac{2}{3}\cdot\frac{4}{3}=\frac{8}{9}\)

Ответ: 1) \(2\frac{4}{15}\), 2) \(10\frac{5}{8}\), 3) 2, 4) \(12\frac{9}{35}\), 5) \(\frac{5}{9}\), 6) \(1\frac{1}{6}\), 7) \(2\frac{1}{7}\), 8) \(2\frac{8}{15}\), 9) \(1\frac{1}{6}\), 10) \(\frac{8}{9}\)

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