8. Выполнить деление: a 8 4÷ ) 9 6 12 ÷6 ) 21 B 14 4 ) 15 35 г) 1 1÷3 48 д 2 7 3--÷1-- 5 10 e 5 1 ) 16 38

8. Выполнить деление:

а) 4 : \(\frac{8}{9}\) = \(\frac{4}{1}\) : \(\frac{8}{9}\) = \(\frac{4}{1}\) \(\cdot\) \(\frac{9}{8}\) = \(\frac{4 \cdot 9}{1 \cdot 8}\) = \(\frac{36}{8}\) = \(\frac{9}{2}\) = 4\(\frac{1}{2}\)

б) \(\frac{14}{15}\) : \(\frac{4}{35}\) = \(\frac{14}{15}\) \(\cdot\) \(\frac{35}{4}\) = \(\frac{14 \cdot 35}{15 \cdot 4}\) = \(\frac{2 \cdot 7 \cdot 5 \cdot 7}{3 \cdot 5 \cdot 2 \cdot 2}\) = \(\frac{49}{6}\) = 8\(\frac{1}{6}\)

в) 3\(\frac{2}{5}\) : 1\(\frac{7}{10}\) = \(\frac{17}{5}\) : \(\frac{17}{10}\) = \(\frac{17}{5}\) \(\cdot\) \(\frac{10}{17}\) = \(\frac{17 \cdot 10}{5 \cdot 17}\) = \(\frac{10}{5}\) = 2

г) 1\(\frac{1}{4}\) : \(\frac{3}{8}\) = \(\frac{5}{4}\) : \(\frac{3}{8}\) = \(\frac{5}{4}\) \(\cdot\) \(\frac{8}{3}\) = \(\frac{5 \cdot 8}{4 \cdot 3}\) = \(\frac{40}{12}\) = \(\frac{10}{3}\) = 3\(\frac{1}{3}\)

д) \(\frac{12}{21}\) : 6 = \(\frac{12}{21}\) : \(\frac{6}{1}\) = \(\frac{12}{21}\) \(\cdot\) \(\frac{1}{6}\) = \(\frac{12 \cdot 1}{21 \cdot 6}\) = \(\frac{12}{126}\) = \(\frac{2}{21}\)

е) \(\frac{5}{16}\) : 3\(\frac{1}{8}\) = \(\frac{5}{16}\) : \(\frac{25}{8}\) = \(\frac{5}{16}\) \(\cdot\) \(\frac{8}{25}\) = \(\frac{5 \cdot 8}{16 \cdot 25}\) = \(\frac{40}{400}\) = \(\frac{1}{10}\)

Ответ: а) 4\(\frac{1}{2}\), б) 8\(\frac{1}{6}\), в) 2, г) 3\(\frac{1}{3}\), д) \(\frac{2}{21}\), е) \(\frac{1}{10}\)

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