6) (1 9/16 * 3 1/5 + 16 2/3 - 9 : 2 2/5) : (17 7/12 - 6 1/3);

Question

Вопрос:

6) (1 9/16 * 3 1/5 + 16 2/3 - 9 : 2 2/5) : (17 7/12 - 6 1/3);

Accepted Answer

6) (1 9/16 * 3 1/5 + 16 2/3 - 9 : 2 2/5) : (17 7/12 - 6 1/3) = (25/16 * 16/5 + 50/3 - 9 : 12/5) : (211/12 - 19/3) = (25/16 * 16/5 + 50/3 - 9 * 5/12) : (211/12 - (19 * 4)/(3 * 4)) = (25/16 * 16/5 + 50/3 - 9 * 5/12) : (211/12 - 76/12) = (25/5 + 50/3 - (3 * 3 * 5)/(3 * 4)) : (211 - 76)/12 = 5 + 50/3 - 15/4 : 135/12 = (5 * 12)/(1 * 12) + (50 * 4)/(3 * 4) - (15 * 3)/(4 * 3) : 135/12 = (60 + 200 - 45)/12 : 135/12 = 215/12 : 135/12 = 215/12 * 12/135 = 215/135 = 43/27 = 1 16/27

Ответ: 1 16/27