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Краткое пояснение: Чтобы разделить дробь на дробь, умножаем первую дробь на перевернутую вторую.
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а) \(\frac{5}{9} : \frac{3}{4} = \frac{5}{9} * \frac{4}{3} = \frac{5*4}{9*3} = \frac{20}{27}\)
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б) \(\frac{1}{6} : \frac{2}{5} = \frac{1}{6} * \frac{5}{2} = \frac{1*5}{6*2} = \frac{5}{12}\)
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в) \(\frac{7}{12} : \frac{1}{5} = \frac{7}{12} * \frac{5}{1} = \frac{7*5}{12*1} = \frac{35}{12}\)
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г) \(\frac{3}{11} : \frac{6}{7} = \frac{3}{11} * \frac{7}{6} = \frac{3*7}{11*6} = \frac{21}{66} = \frac{7}{22}\)
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а) \(\frac{1}{9} : \frac{2}{3} = \frac{1}{9} * \frac{3}{2} = \frac{1*3}{9*2} = \frac{3}{18} = \frac{1}{6}\)
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б) \(\frac{4}{7} : \frac{12}{5} = \frac{4}{7} * \frac{5}{12} = \frac{4*5}{7*12} = \frac{20}{84} = \frac{5}{21}\)
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в) \(\frac{9}{16} : \frac{3}{4} = \frac{9}{16} * \frac{4}{3} = \frac{9*4}{16*3} = \frac{36}{48} = \frac{3}{4}\)
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г) \(\frac{10}{21} : \frac{14}{15} = \frac{10}{21} * \frac{15}{14} = \frac{10*15}{21*14} = \frac{150}{294} = \frac{25}{49}\)
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а) \(\frac{1}{8} : \frac{1}{4} = \frac{1}{8} * \frac{4}{1} = \frac{1*4}{8*1} = \frac{4}{8} = \frac{1}{2}\)
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б) \(\frac{1}{5} : \frac{1}{25} = \frac{1}{5} * \frac{25}{1} = \frac{1*25}{5*1} = \frac{25}{5} = 5\)
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в) \(\frac{3}{10} : \frac{1}{100} = \frac{3}{10} * \frac{100}{1} = \frac{3*100}{10*1} = \frac{300}{10} = 30\)
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г) \(\frac{1}{15} : \frac{1}{15} = \frac{1}{15} * \frac{15}{1} = \frac{1*15}{15*1} = \frac{15}{15} = 1\)
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