Question

Вычислите рационально: 5 целых 7/18- 4 целых 5/24 + 3 целых 11/18 - 6 целых 19/24

Answer 1

$5 \frac{7}{18} - 4 \frac{5}{24} + 3 \frac{11}{18} - 6 \frac{19}{24} = \\ = (5 \frac{7}{18} + 3 \frac{11}{18} ) - (4 \frac{5}{24} + 6 \frac{19}{24}) = \\ = (5 + 3 + \frac{7 + 11}{18} ) - \\ - (4 + 6 + \frac{19 + 5}{24} ) = \\ = (8 + 1) - (10 + 1) = \\ = 9 - 11 = - 2$