Сравните дроби: 3 1/2 и 4 1/3 = 4 3/4 и 4 1/4 = 5 1/4 и 5 1/3 = 8 2/3 и 8 2/5=

1) 3 1/2 = (3 * 2 + 1) / 2 = 7/2 = 21/6;

4 1/3 = (4 * 3 + 1) / 3 = 13/3 = 26/6;

21 < 26;

Ответ: 3 1/2 < 4 1/3.

2) 4 3/4 = (4 * 4 + 3) / 4 = 19/4;

4 1/4 = (4 * 4 + 1) / 4 = 17/4;

19 > 17;

Ответ: 4 3/4 > 4 1/4.

3) 5 1/4 = (5 * 4 + 1) / 4 = 21/4 = (21 * 3) / 12 = 63/12;

5 1/3 = (5 * 3 + 1) / 3 = 16/3 = (16 * 4) / 12 = 64/12;

63 < 64;

Ответ: 5 1/4 < 5 1/3.

4) 8 2/3 = (8 * 3 + 2) / 3 = 26/3 = (26 * 5) / 15 = 130/15;

8 2/5 = (8 * 5 + 2) / 5 = 42/5 = (42 * 3) / 15 = 126/15;

130 > 126;

Ответ: 8 2/3 > 8 2/5.