Question

Решите 1 пример и 2 уравнения, пожалуйста
1) 2 - ( 1 11/30 - 1,7) *1 2/7 / 1 13/14 =
2) 2/3 * (1,5x + 0,6) - 0,8 * (5/12x - 0,5) = 1
3) 1/8 * (8/9x + 8) - 0,2 * (5/6x + 1 2/3) = 2

Answer 1

1)
$2 - ( \frac{41}{30} - \frac{51}{30} ) \times \frac{9}{7} \times \frac{14}{27} \ = 2 + \frac{11}{30} \times \frac{2}{3} = 2 + \frac{11}{45} = 2 \times \frac{11}{45}$
2)
$\frac{2}{3} \times ( \frac{15}{10} x + \frac{6}{10} ) - \frac{8}{10} \times ( \frac{5}{12} x - \frac{5}{10}) = 1 \\ x + \frac{4}{10} - \frac{1}{3} x + \frac{4}{10} = 1 \\ \frac{2}{3} x = \frac{1}{5} \\ x = \frac{1}{5} \times \frac{3}{2} \\ x = \frac{3}{10} \\ x = 0.3$
3)
$\frac{1}{8} \times ( \frac{8}{9} x + 8) - \frac{2}{10} \times ( \frac{5}{6} x + \frac{10}{6} ) = 2 \\ \frac{1}{9} x + 1 - \frac{1}{6} x - \frac{1}{3} = 2 \\ \frac{6}{54} x - \frac{9}{54} x = \frac{4}{3} \\ - \frac{3}{54} x = \frac{4}{3} \\ x = - \frac{4}{3} \times \frac{54}{3} \\ x = - \frac{72}{3} = - 24$