Сравните дроби 5/7 и 11/14, 6/7 и 7/8, 11/30 и 7/24, 5/6 и 8/9, 11/20 и 9/16

Для того, чтобы сравнить дроби, необходимо найти их общий знаменатель:

1) 5/7 и 11/14;

5/7 = (5 * 2)/(7 * 2) = 10/14;

10/14 < 11/14.

2) 6/7 и 7/8;

6/7 = (96 * 8)/(7 * 8) = 784/56;

7/8 = (7 * 7)/(8 * 7) = 49/56

784/56 > 49/56.

3) 11/30 и 7/24;

11/30 = (11 * 4)/(30 * 4) = 44/120;

7/24 = (7 * 5)/(24 * 5) = 35/120;

44/120 > 35/120.

4) 5/6 и 8/9;

5/6 = (5 * 9)/(6 * 9) = 45/54;

8/9 = (8 * 6)/(9 * 6) = 48/54;

45/54 < 48/54. 

5)11/20 и 9/16;

11/20 = (11 * 4)/(20 * 4) = 44/80;

9/16 = (9 * 5)/(16 * 5) = 45/80;

44/80 < 45/80.