\[Страница\ 82.\]
\[15.\ Действие\ деления\ \]
\[смешанных\ чисел\]
\[\boxed{\mathbf{1.}}\]
\[1,\ взаимно\ обратными.\]
\[\frac{1}{3}\] | \[3\] | \[\frac{1}{2}\] | \[2\] | \[\frac{2}{5}\] | \[\frac{5}{2}\] | \[\frac{11}{17}\] | \[\frac{23}{15}\] |
---|---|---|---|---|---|---|---|
\[3\] | \[\frac{1}{3}\] | \[2\] | \[\frac{1}{2}\] | \[\frac{5}{2}\] | \[\frac{2}{5}\] | \[\frac{17}{11}\] | \[\frac{15}{23}\] |
\[30\] | \[3\frac{2}{5}\] | \[0,7\] | \[6\frac{1}{10}\] | \[5\frac{3}{4}\] | \[9\frac{3}{7}\] | \[2,75\] | \[11\frac{6}{7}\] |
\[\frac{1}{30}\] | \[\frac{5}{17}\] | \[1\frac{3}{7}\] | \[\frac{10}{61}\] | \[\frac{4}{23}\] | \[\frac{7}{66}\] | \[\frac{4}{11}\] | \[\frac{7}{83}\] |
\[\boxed{\mathbf{2.}}\]
\[\textbf{а)}\ 8\frac{2}{3} \cdot \frac{3}{25} = \frac{26}{3} \cdot \frac{3}{25} =\]
\[= \frac{26}{25} \neq 1 \Longrightarrow нет.\]
\[\textbf{б)}\ 96 \cdot \frac{1}{96} = 1 \Longrightarrow да.\]
\[\textbf{в)}\ 0 \cdot 1 = 0 \neq 1 \Longrightarrow нет.\]
\[\textbf{г)}\ 0,5 \cdot 2 = 1 \Longrightarrow да.\]
\[\textbf{д)}\ 5,5 \cdot \frac{11}{2} = \frac{11}{2} \cdot \frac{11}{2} =\]
\[= \frac{121}{4} \neq 1 \Longrightarrow нет.\]
\[\textbf{е)}\ 1\frac{2}{3} \cdot 2\frac{1}{2} = \frac{5}{3} \cdot \frac{5}{2} =\]
\[= \frac{25}{6} \neq 1 \Longrightarrow нет.\]