Решебник по математике 6 класс Ткачева ФГОС рабочая тетрадь | Страница 113

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\[\boxed{\mathbf{7.}}\]

\[\textbf{а)}\ \ 58\ :208 = \frac{1}{2}\ :7\]

\[58 \cdot 7 = 406\]

\[208 \cdot \frac{1}{2} = 104\]

\[406 \neq 104 \Longrightarrow неверно.\]

\[\textbf{б)}\ \frac{11,6}{1,2} = \frac{2,9}{0,3}\]

\[11,6 \cdot 0,3 = 3,48\]

\[1,2 \cdot 2,9 = 3,48\]

\[3,48 = 3,48 \Longrightarrow верно.\]

\[Ответ:а)\ нет;\ \ б)\ да.\]

\[\boxed{\mathbf{8.}}\]

\[\textbf{а)}\ 5\ :25 = 3\ :15\]

\[5\ :3 = 25\ :15\]

\[15\ :25 = 3\ :5\]

\[15\ :3 = 25\ :5\]

\[\textbf{б)}\ 3,4\ :1,25 = 0,4\ :\frac{5}{34}\]

\[3,4\ :0,4 = 1,25\ :\frac{5}{34}\]

\[\frac{5}{34}\ :1,25 = 0,4\ :3,4\]

\[\frac{5}{34}\ :0,4 = 1,25\ :3,4\]

\[\textbf{в)}\ 2\ :3 = b\ :a\]

\[2\ :b = 3\ :a\]

\[a\ :3 = b\ :2\]

\[a\ :b = 3\ :2\]

\[\textbf{г)}\ a\ :m = n\ :b\]

\[a\ :n = m\ :b\]

\[b\ :m = n\ :a\]

\[b\ :n = m\ :a\]

\[\textbf{д)}\ \ x\ :a = b\ :x\]

\[x\ :b = a\ :x\]

\[a\ :x = x\ :b\]

\[b\ :x = x\ :a\]

\[\boxed{\mathbf{9.}}\]

\[\textbf{а)}\ 3\ :9 = 4\ :12\]

\[\textbf{б)}\ 12\ :4 = 9\ :3\]

\[\textbf{в)}\ 12\ :9 = 4\ :3\]