Найдите значение выражения (3 целых 5/18 t + 2 целых 1/6) * 6-7 целых 2/3 t, если t=3 целых 1/4

(3 5/18 * t + 2 1/6) * 6 - 7 2/3 * t, если t = 3 1/4;

(3 5/18 * 3 1/4 + 2 1/6) * 6 - 7 2/3 * 3 1/4 = 52.

1) 3 5/18 * 3 1/4 = 59/18 * 13/4 = (59 * 13) / (18 * 4) = 767/72 = 10 47/72;

2) 10 47/72 + 2 1/6 = 767/72 + 13/6 = 767/72 + (13 * 12) / (6 * 12) = 767/72 + 156/72 = 923/72 = 12 59/72;

3) 12 59/72 * 6 = 923/72 * 6 = (923 * 6) / 72 = 5538/72;

4) 7 2/3 * 3 1/4 = 23/3 * 13/4 = (23 * 13) / (3 * 4) = 299/12 = 24 11/12;

5) 5538/72 - 24 11/12 = 5538/72 - 299/12 = 5538/72 - (299 * 6) / (12 * 6) = 5538/72 - 1794/72 = 3744/72 = 52.