Question

Решите уравнение
2 целых 2/3:х+1 целая 1/6=2целые 7/12

Answer 1

$2 \frac{2}{3} \div x + 1 \frac{1}{6} = 2 \frac{7}{12} \\ \frac{8}{3} \times \frac{1}{x} + \frac{7}{6} = \frac{31}{12} \\ \frac{8}{3x} + \frac{7}{6} = \frac{31}{12} \\ \frac{8}{3x} = \frac{31}{12} - \frac{7}{6} \\ \frac{8}{3x} = \frac{17}{12} \\ 96 = 51x \\ 51x = 96 \\ x = \frac{32}{17}$