5.541 Вычислите:
а) 5 : \(\frac{2}{3}\) = \(\frac{5}{1}\) : \(\frac{2}{3}\) = \(\frac{5}{1}\) \(\cdot\) \(\frac{3}{2}\) = \(\frac{5 \cdot 3}{1 \cdot 2}\) = \(\frac{15}{2}\) = 7\(\frac{1}{2}\)
б) \(\frac{3}{8}\) : \(\frac{1}{3}\) = \(\frac{3}{8}\) \(\cdot\) \(\frac{3}{1}\) = \(\frac{3 \cdot 3}{8 \cdot 1}\) = \(\frac{9}{8}\) = 1\(\frac{1}{8}\)
в) \(\frac{1}{12}\) : \(\frac{5}{36}\) = \(\frac{1}{12}\) \(\cdot\) \(\frac{36}{5}\) = \(\frac{1 \cdot 36}{12 \cdot 5}\) = \(\frac{36}{60}\) = \(\frac{3}{5}\)
г) \(\frac{14}{55}\) : \(\frac{5}{21}\) = \(\frac{14}{55}\) \(\cdot\) \(\frac{21}{5}\) = \(\frac{14 \cdot 21}{55 \cdot 5}\) = \(\frac{294}{275}\)
д) \(\frac{12}{23}\) - задание не видно на фото, решите его самостоятельно
б) \(\frac{10}{7}\) \(\cdot\) \(\frac{3}{4}\) \(\cdot\) \(\frac{5}{14}\) = \(\frac{10 \cdot 3 \cdot 5}{7 \cdot 4 \cdot 14}\) = \(\frac{150}{392}\) = \(\frac{75}{196}\)
в) \(\frac{9}{8}\) - задание не видно на фото, решите его самостоятельно