Решебник по математике 6 класс Мерзляк ФГОС Задание 1348

\[\boxed{\mathbf{1348}\mathbf{.}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

\[1)\ 40\%\ от:\]

\[\left( 3\frac{1}{3} + 2,5 \right)\ :\left( 3\frac{1}{3} - 2,5 \right) =\]

\[= \left( \frac{10^{\backslash 10}}{3} + \frac{25^{\backslash 3}}{10} \right)\ :\]

\[:\left( \frac{10^{\backslash 10}}{3} - \frac{25^{\backslash 3}}{10} \right) =\]

\[= \frac{100 + 75}{30}\ :\frac{100 - 75}{30} =\]

\[= \frac{175 \cdot 30}{30 \cdot 25} = 7\]

\[40\% = 0,4:\]

\[7 \cdot 0,4 = 2,8\]

\[Ответ:2,8.\]

\[2)\ 54\%\ от:\]

\[\frac{3\frac{1}{3}\ :10 + 0,175\ :0,35}{1,75 - 1\frac{11}{17} \cdot \frac{51}{56}} =\]

\[= \frac{\frac{10}{3} \cdot \frac{1}{10} + \frac{175}{350}}{1,75 - \frac{28}{17} \cdot \frac{51}{56}} = \frac{\frac{1}{3} + \frac{1}{2}}{1,7 - \frac{3}{2}} =\]

\[= \frac{\frac{2}{6} + \frac{3}{6}}{1,75 - 1,5} = \frac{5}{6}\ :0,25 =\]

\[= \frac{5}{6}\ :\frac{1}{4} = \frac{5}{6} \cdot \frac{4}{1} = \frac{5}{3} \cdot \frac{2}{1} = \frac{10}{3} = 3\frac{1}{3}\]

\[54\% = 0,54\]

\[\frac{10}{3} \cdot \frac{54}{100} = \frac{18}{10} = \frac{9}{5} = 1,8\]

\[Ответ:1,8.\]