ГДЗ по математике 6 класс Мерзляк ФГОС Решаем устно параграф 11

 

\[\boxed{\mathbf{Решаем}\mathbf{\ }\mathbf{устно}\mathbf{\ }\mathbf{параграф}\mathbf{\ }\mathbf{11}\mathbf{.}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[\boxed{\mathbf{1.}}\]

\[\boxed{\mathbf{2.}}\]

\[1)\ 1\frac{1}{2} = \frac{1 \cdot 2 + 1}{2} = \frac{3}{2}\]

\[2)\ 4\frac{3}{4} = \frac{4 \cdot 4 + 3}{4} = \frac{19}{4}\]

\[3)\ 7\frac{5}{6} = \frac{6 \cdot 7 + 5}{6} = \frac{47}{6}\]

\[4)\ 2\frac{1}{17} = \frac{17 \cdot 2 + 1}{17} = \frac{35}{17}\]

\[\boxed{\mathbf{3.}}\]

\[1)\frac{35}{8} = 4\frac{3}{8}\]

\[2)\frac{13}{9} = 1\frac{4}{9}\]

\[3)\frac{23}{6} = 3\frac{5}{6}\]

\[4)\frac{69}{13} = 5\frac{4}{13}\]

\[\boxed{\mathbf{4.}}\]

\[1)\ 0,2a + 2,4b + 0,8a -\]

\[- 0,4b = a + 2b\]

\[2)\ 0,7m + 1,6m + 0,5m = 2,8m\]

\[3)\ 0,8m \cdot 3n = 2,4mn\]

\[4)\ 5,2x - 1,7x + x + 8 =\]

\[= 4,5x + 8\]

\[\boxed{\mathbf{5.}}\]

\[1\ :\frac{1}{5} = 5\ \left( \frac{км}{ч} \right) - скорость\]

\[\ пешехода.\]

\[1)\ 5\ :5 = 1\ час.\]

\[2)\ 15\ :5 = 3\ часа.\]

\[3)\frac{1}{2}\ :5 = \frac{1}{10}\ часа.\]

\[4)\frac{5}{8}\ :5 = \frac{1}{8}\ часа.\]

\[\boxed{\mathbf{6.}}\]

\[\frac{1}{6} < \frac{x}{12} < \frac{1}{2}\]

\[\frac{2}{12} < \frac{x}{12} < \frac{6}{12}\]

\[x = \frac{3}{12};\ \ \frac{4}{12};\ \ \frac{5}{12}.\]

\[Ответ:x = \frac{1}{4};\ \frac{1}{3};\ \frac{5}{12}.\]

\[\boxed{\mathbf{1}.}\]

\[1)\ 6,4 < 6,42\]

\[2)\ 0,4 > 0,08\]

\[3)\ 0,0075 < 0,1\]

\[\boxed{\mathbf{2}.}\]

\[Верные\ утверждения:\]

\[2);4).\]

\[\boxed{\mathbf{3}.}\]

\[1)\ \frac{3}{5} + 4,6 = 0,6 + 4,6 = 5,2\]

\[2)\ 4\frac{1}{4} - 2,75 = 4,25 - 2,75 =\]

\[= 1,5\]

\[3)\ 0,6 \cdot 1\frac{1}{2} = \frac{3}{5} \cdot \frac{3}{2} = \frac{9}{10} = 0,9\]