7/8: (0,75*14/15:1,2) решить по действиям

7/8 : (0,75 * 14/15 : 1,2) = 1 1/2.

1) 0,75 * 14/15 = 75/100 * 14/15 = (75 * 14) / (100 * 15) = (15 * 5 * 2 * 7) / (5 * 2 * 10 * 15) = 7/10;

2) 7/10 : 1,2 = 7/10 : 12/10 = 7/10 * 10/12 = (7 * 10) / (10 * 12) = 7/12;

3) 7/8 : 7/12 = 7/8 * 12/7 = (7 * 12) / (8 * 7) = (7 * 4 * 3) / (4 * 2 * 7) = 3/2 = 1 (3 - 1 * 2) / 2 = 1 (3 - 2) / 2 = 1 1/2.

Решим подобный пример:

6/7 : 3/14 * 5/6 = 3 1/3.

1) 6/7 : 3/14 = 6/7 * 14/3 = (6 * 14) / (7 * 3) = (3 * 2 * 2 * 7) / (7 * 3) = 2 * 2 = 4;

2) 4 * 5/6 = (4 * 5) / 6 = (2 * 2 * 5) / (3 * 2) = 10/3 = 3 1/3.