Решебник по математике 6 класс Мерзляк ФГОС Задание 501

 

\[\boxed{\mathbf{501\ (501).}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]

Пояснение.

Решение.

\[1)\ 24\% = \frac{24}{100} = \frac{6}{25}\]

\[48\ :\frac{6}{25} = 48 \cdot \frac{25}{6} = 8 \cdot 25 =\]

\[= 200\]

\[2)\ 75\% = \frac{75}{100} = \frac{3}{4}\]

\[3)\ 3\frac{1}{3}\% = \frac{10}{3}\% = \frac{10}{300} = \frac{1}{30}\]

\[5\ :\frac{1}{30} = 5 \cdot 30 = 150\]

\[4)\ 108\% = \frac{108}{100} = \frac{54}{50} = \frac{27}{25}\]

\[86,4\ :\frac{27}{25} = \frac{864}{10} \cdot \frac{25}{27} =\]

\[= \frac{432}{5} \cdot \frac{25}{27} = \frac{48 \cdot 5}{1 \cdot 3} = 16 \cdot 5 =\]

\[= 80\]

\[\boxed{\mathbf{501.}\mathbf{\ }}\]

\[1)\ (2,6 \cdot 1,34 - 2,404)\ :4,5 =\]

\[= 0,24\]

\[3,484 - 2,404 = 1,08\]

\[1,08\ :4,5 = 108\ :450 = 0,24\]

\[2)\ (55,08\ :1,8 - 4,056\ :0,52) \cdot 6,5 =\]

\[= 36,48\]

\[55,08\ :1,8 = 5508\ :180 = 30,6\]

\[4,056\ :0,52 = 4056\ :520 = 7,8\]

\[30,6 - 7,8 = 22,8\]