Выполните действия: 3/7*5/11 5/9:10/27 32:8/9 2 1/10*1 1/14 4 4/9:2 2/3

Выполним действия:

1) 3/7 * 5/11 = (3 * 5) / (7 * 11) = 15/77;

2) 5/9 : 10/27 = 5/9 * 27/10 = (5 * 27) / (9 * 10) = (5 * 3 * 9) / (9 * 2 * 5) = 3/2 = 1 1/2;

3) 32 : 8/9 = 32 * 9/8 = (32 * 9) / 8 = (8 * 4 * 9) / 8 = 4 * 9 = 36;

4) 2 1/10 * 1 1/14 = (2 * 10 + 1) / 10 * (1 * 14 + 1) / 14 = (20 + 1) / 10 * (14 + 1) / 14 = 21/10 * 15/14 = (21 * 15) / (10 * 14) = (7 * 3 * 5 * 3) / (5 * 2 * 7 * 2) = (3 * 3) / (2 * 2) = 9/4 = 2 1/4;

5) 4 4/9 : 2 2/3 = (4 * 9 + 4) / 9 : (2 * 3 + 2) / 3 = 40/8 : 8/3 = 40/8 * 3/8 = (40 * 3) / (8 * 8) = (8 * 5 * 3) / (8 * 8) = (5 * 3) / 8 = 15/8 = 1 7/8.