3) (5/6-2/3) * (7/8-1/2) * (-4)

Question

Милана Овчинникова

Математика

2 апреля, 23:07

3) (5/6-2/3) * (7/8-1/2) * (-4)

+1

Ответы (1)

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Андрей Ковалев · Answer 1

(5/6 - 2/3) * (7/8 - 1/2) * (-4) = - 1/4.

1) 5/6 - 2/3 = 5/6 - (2 * 2) / (3 * 2) = 5/6 - 4/6 = (5 - 4) / 6 = 1/6;

2) 7/8 - 1/2 = 7/8 - (1 * 4) / (2 * 4) = 7/8 - 4/8 = (7 - 4) / 8 = 3/8;

3) 1/6 * 3/8 = (1 * 3) / (6 * 8) = (1 * 3) / (3 * 2 * 8) = 1 / (2 * 8) = 1/16;

4) 1/16 * (-4) = (1 * (-4)) / 16 = - 4 / (4 * 4) = - 1/4.

Решим подобный пример:

(3/4 - 1/2) * (6/7 - 5/14) * 6 = 3/4.

1) 3/4 - 1/2 = 3/4 - (1 * 2) / (2 * 2) = 3/4 - 2/4 = 1/4;

2) 6/7 - 5/14 = (6 * 2) / 14 - 5/14 = 12/14 - 5/14 = 7/14 = 1/2;

3) 1/4 * 1/2 = 1/8;

4) 1/8 * 6 = 6/8 = (2 * 3) / (2 * 4) = 3/4.