Решебник по математике 6 класс Мерзляк ФГОС Задание 501

 

$$\boxed{{\displaystyle \mathbf{501}\mathbf{(}\mathbf{501}\mathbf{)}\mathbf{.}Еуроки-ДЗбезмороки}}$$

Пояснение.

Решение.

$$1)24\mathrm{\%}=\frac{24}{100}=\frac{6}{25}$$

$$48:\frac{6}{25}=48\cdot \frac{25}{6}=8\cdot 25=$$

$$=200$$

$$2)75\mathrm{\%}=\frac{75}{100}=\frac{3}{4}$$

$$3)3\frac{1}{3}\mathrm{\%}=\frac{10}{3}\mathrm{\%}=\frac{10}{300}=\frac{1}{30}$$

$$5:\frac{1}{30}=5\cdot 30=150$$

$$4)108\mathrm{\%}=\frac{108}{100}=\frac{54}{50}=\frac{27}{25}$$

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

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

$$=80$$

$$\boxed{{\displaystyle \mathbf{501.}}}$$

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

$$=0,24$$

$$3,484-2,404=1,08$$

$$1,08:4,5=108:450=0,24$$

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

$$=36,48$$

$$55,08:1,8=5508:180=30,6$$

$$4,056:0,52=4056:520=7,8$$

$$30,6-7,8=22,8$$