Question

Решите уравнение: x:3,2-2 целых 1/6 = 5 целых 1/3

Answer 1

$\frac{x}{3.2 - 2 \times \frac{1}{6} } = 5 \times \frac{1}{3}$

$x = 5 \times \frac{1}{3} \times (3.2 - 2 \times \frac{1}{6} ) \\ x = \frac{5}{3} \times (3.2 - \frac{2}{6} ) \\ x = \frac{50 \times 32}{30} - \frac{10}{18} \\ x = \frac{50 \times 32 \times 6}{30 \times 6} - \frac{10 \times 10}{18 \times 10} \\ x = \frac{9600 - 100}{180} = \frac{9500}{180} = 52 \times \frac{140}{180} \\ x = 52 \times \frac{14}{18} = 52 \times \frac{7}{9}$