Решебник по математике 6 класс Ткачева ФГОС рабочая тетрадь | Страница 71

\[Страница\ 71.\]

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

\[144 \cdot \frac{5}{48} = 3 \cdot 5 =\]

\[= 15\ (т) - моркови.\]

\[144 \cdot \frac{3}{8} = 18 \cdot 3 =\]

\[= 54\ (т) - свеклы.\]

\[(144 + 15 + 54) \cdot \frac{17}{71} =\]

\[= 213 \cdot \frac{17}{71} = 3 \cdot 17 =\]

\[= 51\ (т) - капусты.\]

\[144 + 15 + 54 + 51 =\]

\[= 213 + 51 = 264\ (т).\]

\[Ответ:264\ тонны.\]

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

\[\textbf{а)}\ 9\frac{2}{7} + x = 52\frac{3}{14}\]

\[x = 52\frac{3}{14} - 9\frac{2^{\backslash 2}}{7}\]

\[x = 51\frac{17}{14} - 9\frac{4}{14}\]

\[x = 42\frac{13}{14}\]

\[Ответ:42\frac{13}{14}.\]

\[\textbf{б)}\ x\ :5\frac{5}{8} = 2\frac{1}{3}\]

\[x = 2\frac{1}{3} \cdot 5\frac{5}{8}\]

\[x = \frac{7}{3} \cdot \frac{45}{8}\]

\[x = \frac{7 \cdot 15}{8} = \frac{105}{8}\]

\[x = 13\frac{1}{8}\]

\[Ответ:13\frac{1}{8}.\]

\[\textbf{в)}\ 15\frac{2}{3} - x = 5\frac{5}{6}\]

\[x = 15\frac{2^{\backslash 2}}{3} - 5\frac{5}{6}\]

\[x = 15\frac{4}{6} - 5\frac{5}{6}\]

\[x = 14\frac{10}{6} - 5\frac{5}{6}\]

\[x = 9\frac{5}{6}\]

\[Ответ:9\frac{5}{6}.\]

\[\textbf{г)}\ x + 3\frac{1}{6} = 5\frac{5}{18}\]

\[x = 5\frac{5}{18} - 3\frac{1^{\backslash 3}}{6}\]

\[x = 5\frac{5}{18} - 3\frac{3}{18}\]

\[x = 2\frac{2}{18} = 2\frac{1}{9}\]

\[Ответ:2\frac{1}{9}.\]

\[\textbf{д)}\ x - 1\frac{5}{12} = 2\frac{5}{24}\]

\[x = 2\frac{5}{24} + 1\frac{5^{\backslash 2}}{12}\]

\[x = 2\frac{5}{24} + 1\frac{10}{24}\]

\[x = 3\frac{15}{24} = 3\frac{5}{8}\]

\[Ответ:3\frac{5}{8}.\]

\[\textbf{е)}\ 1\frac{2}{17} - x = \frac{1}{34}\]

\[x = 1\frac{2^{\backslash 2}}{17} - \frac{1}{34}\]

\[x = 1\frac{4}{34} - \frac{1}{34}\]

\[x = 1\frac{3}{34}\]

\[Ответ:1\frac{3}{34}.\]