5) (6 3/4 - 5 1/8 : 1 9/32) * 5/11;

Question

Вопрос:

5) (6 3/4 - 5 1/8 : 1 9/32) * 5/11;

Accepted Answer

5) (6 3/4 - 5 1/8 : 1 9/32) * 5/11 = (27/4 - 41/8 : 41/32) * 5/11 = (27/4 - 41/8 * 32/41) * 5/11 = (27/4 - (41 * 32)/(8 * 41)) * 5/11 = (27/4 - 32/8) * 5/11 = (27/4 - 4) * 5/11 = (27/4 - (4 * 4)/4) * 5/11 = (27 - 16)/4 * 5/11 = 11/4 * 5/11 = (11 * 5)/(4 * 11) = 5/4 = 1 1/4

Ответ: 1 1/4