Выполните действия 6\7 : 3\5 * 1 2\5, 11\23 * 3 2\7 : 5 1\2, 1 1\8 * [9 1\3 : 1 3\4]

Выполним действия:

1. 6/7 : 3/5 * 1 2/5 = 5;

1) 6/7 : 3/5 = 6/7 * 5/3 = (3 * 2 * 5)/(7 * 3) = (2 * 5)/7 = 10/7 = 1 3/7;

2) 10/7 * 1 2/5 = 10/7 * 7/2 = (5 * 2 * 7)/(7 * 2) = 5.

2. 11/23 * 3 2/7 : 5 1/2 = 2/7.

1) 11/23 * 3 2/7 = 11/23 * 23/7 = (11 * 23)/(23 * 7) = 11/7 = 1 4/7;

2) 11/7 : 5 1/2 = 11/7 : 11/2 = 11/7 * 2/11 = (11 * 2)/(7 * 11) = 2/7.

3. 1 1/8 * (9 1/3 : 1 3/4) = 6;

1) 9 1/3 : 1 3/4 = 28/3 : 7/4 = = 28/3 * 4/7 = (7 * 4 * 4)/(3 * 7) = (4 * 4)/3 = 16/3 = 5 1/3;

2) 1 1/8 * 16/3 = 9/8 * 16/3 = (3 * 3 * 2 * 8)/(8 * 3) = 3 * 2 = 6.