Question

1 1/9 : x = 2 2/3 : 3 3/5 ​

Answer 1

Ответ:

$1 \frac{1}{9} \div x = 2 \frac{2}{3} \div 3 \frac{3}{5} \\ 1 \frac{1}{9} \times 3 \frac{3}{5} = 2 \frac{2}{3} x$

$\frac{10}{9} \times \frac{18}{5} = \frac{8}{3} x \\ 2 \times 2 = \frac{8}{3} x$

$4 = \frac{8}{3} x \\ x = \frac{3}{2} = 1 \frac{1}{2}$

Answer 2

Ответ:

$x = 2 \frac{1}{12}$

Пошаговое объяснение:

$1 \frac{1}{9} \div x = 2 \frac{2}{3} \div 3 \frac{3}{5} \\ \frac{1}{9} \div x = 2 \frac{2}{3} \div 3 \frac{3}{5},x \neq0 \\ \frac{10}{9} \times \frac{1}{x} = \frac{8}{3} \times \frac{1}{3} \times \frac{3}{5} \\ \frac{10}{9x} = 8 \times \frac{1}{3} \times \frac{1}{5} \\ \frac{10}{9x} = \frac{8}{15} \\ 150 = 72x \\ 72x = 150 \\ x = 150 \div 72 \\ x = \frac{150}{72} \\ x = \frac{25}{12},x \neq 0 \\ x = \frac{25}{12} \\ x = 2 \frac{1}{12}$