4 1/6 :(1/4х +16/15)-1 5/6 =2/3

Решите задачу:

$4 \frac{1}{6} \div ( \frac{1}{4} x + \frac{16}{15} ) - 1 \frac{5}{6} = \frac{2}{3 } \\ 4 \frac{1}{6} \div ( \frac{x}{4} + \frac{16}{15} ) = \frac{2}{3} + 1 \frac{5}{6} \\ \frac{25}{6} \div ( \frac{x}{4} + \frac{16}{15} ) = \frac{2}{3} + \frac{11}{6} \\ \frac{25}{6} \div ( \frac{x}{4} + \frac{16}{15} ) = \frac{4}{6} + \frac{11}{6} \\ \frac{25}{6} \div ( \frac{x}{4} + \frac{16}{15}) = \frac{15}{6} \\ \frac{x}{4} + \frac{16}{15} = \frac{25}{6} \div \frac{15}{6} \\ \frac{x}{4} + \frac{16}{15} = \frac{25}{6} \times \frac{6}{15} \\ \frac{x}{4} + \frac{16}{15} = \frac{25}{15} \\ \frac{x}{4} = \frac{25}{15} - \frac{16}{15} \\ \frac{x}{4} = \frac{9}{15} \\ x = \frac{4 \times 9}{15} = \frac{36}{15} = \frac{12}{5} = 2 \frac{2}{5}$