Решите пример: 5/9+4/9*3 1/6 * (4/19+1 5/38-75/76) = 1 1/18

Найдем значение выражения 5/9 + 4/9 * 3 целых 1/6 * (4/19 + 1 целая 5/38 - 75/76) по действиям: 1) 4/19 + 1 целая 5/38 = (4 * 2) / (19 * 2) + 1 целая 5/38 = 8/38 + 1 целая 5/38 = 1 целая 13/38; 2) 1 целая 13/38 - 75/76 = 1 целая (13 * 2) / (38 * 2) - 75/76 = 1 целая 26/76 - 75/76 = 102/76 - 75/76 = 27/76; 3) 4/9 * 3 целых 1/6 = 4/9 * (3 * 6 + 1) = 4/9 * 19/6 = (4 * 19) / (9 * 6) = (2 * 19) / (9 * 3) = 38/27; 4) 38/27 * 27/76 = (38 * 27) / (27 * 76) = (1 * 1) / (1 * 2) = 1/2; 5) 5/9 + 1/2 = 10/18 + 9/18 = 19/18 = 1 целая 1/18. Ответ: 1 целая 1/18.