Решите пример:5/9+4/93 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 деяньям: 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.