Question

Помогите решить пример 6-гг класса 2:5/7=х:2 6/7

Answer 1

14/5=х*3/7
98/15=х
6целых8/15=х

Answer 2

Ответ:

2:5/7=x:2 6/7

$\frac{2}{ \frac{5}{7} } = \frac{x}{2 \frac{6}{7} }$

$\frac{2}{ \frac{5}{7} } = 2 \div \frac{5}{7} = 2 \times \frac{7}{5} = \frac{2 \times 7}{5} = \frac{14}{5}$

$2 \frac{6}{7} = \frac{2 \times 7 + 6}{7} = \frac{20}{7}$

$\frac{14}{5} = \frac{x}{ \frac{20}{7} }$

$\frac{x}{ \frac{20}{7} } = x \div \frac{20}{7} = x \times \frac{7}{20 } = \frac{x \times 7}{20} = \frac{7x}{20}$

$\frac{14}{5} = \frac{7x}{20}$

$14 \times 20 = 5 \times 7x$

$280 = 35x$

$35x = 280$

|:35

$x = 8$