Решебник по математике 6 класс Мерзляк ФГОС Задание 357

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\[1)\ \frac{1}{2}\ :\frac{3}{5} = \frac{1}{2} \cdot \frac{5}{3} = \frac{5}{6}\]

\[2)\ \frac{1}{9}\ :\frac{5}{18} = \frac{1}{9} \cdot \frac{18}{5} = \frac{2}{5}\]

\[3)\ \frac{14}{39}\ :\frac{21}{52} = \frac{14}{39} \cdot \frac{52}{21} = \frac{2 \cdot 14}{13 \cdot 3} =\]

\[= \frac{28}{39}\]

\[4)\ 13\ :\frac{26}{29} = \frac{13 \cdot 29}{26} = \frac{29}{2} =\]

\[= 14\frac{1}{2}\]

\[5)\ \frac{8}{11}\ :16 = \frac{8 \cdot 1}{11 \cdot 16} = \frac{1}{22}\]

\[6)\ 1\frac{1}{7}\ :5\frac{1}{3} = \frac{8}{7}\ :\frac{16}{3} = \frac{8 \cdot 3}{7 \cdot 16} =\]

\[= \frac{3}{14}\]

\[7)\ 2\frac{19}{22}\ :4\frac{1}{11} = \frac{63}{22}\ :\frac{45}{11} =\]

\[= \frac{63 \cdot 11}{22 \cdot 45} = \frac{7 \cdot 1}{2 \cdot 5} = \frac{7}{10}\]

\[8)\ 1\frac{4}{5}\ :3\frac{3}{5} = \frac{9}{5}\ :\frac{18}{5} = \frac{9 \cdot 5}{5 \cdot 18} =\]

\[= \frac{1}{2}\]