Решите уравнение (10,5*0,24-15,15:7,5) : x = (3 5/24 * 3/8)

Решаем пример по действиям:

1) 10,5 * 0,24 = 105/10 * 24/100 = (105 * 24) / 1000 = (21 * 6) / 50 = 126/50;

2) 15,15 : 7,5 = 1515/100 : 75/10 = 1515/100 * 10/75 = (1515 * 10) / (100 * 75) = 101/50;

3) 126/50 - 101/50 = (126 - 101) / 50 = 25/50 = 1/2;

4) 3 5/24 * 3/8 = (3 * 24 + 5) / 24 * 3/8 = 77/24 * 3/8 = (77 * 3) / (24 * 8) = 77/64;

5) 1/2 : х = 77/64;

х = 1/2: 77/64 = 1/2 * 64/77 = 32/77;

Ответ: х = 32/77.