Вопрос:

Вычислите E) $$32\frac{5}{18} - \frac{11}{18} = 32 - \frac{6}{18} = 31\frac{12}{18} = 31\frac{2}{3}$$

Ответ:

E)

$$31\frac{18}{18} + \frac{5}{18} - \frac{11}{18} = 31 + \frac{5-11}{18} = 31 + \frac{-6}{18} = 31 - \frac{6}{18} = 31 - \frac{1}{3} = 30\frac{2}{3}$$

Проверка:

$$32\frac{5}{18} - \frac{11}{18} = \frac{32 \times 18 + 5}{18} - \frac{11}{18} = \frac{576+5}{18} - \frac{11}{18} = \frac{581}{18} - \frac{11}{18} = \frac{570}{18} = \frac{285}{9} = \frac{95}{3} = 31\frac{2}{3}$$