Сравните 1) 2/3 и 3/4, 2) 2 2/3 и 2 3/4, 3) 3 2/3 и 5 3/4, 5 2/3 и 3 3/4

Question

Агата Симонова

Математика

26 июня, 05:12

Сравните 1) 2/3 и 3/4, 2) 2 2/3 и 2 3/4, 3) 3 2/3 и 5 3/4, 5 2/3 и 3 3/4

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Ответы (1)

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Лев Кузьмин · Answer 1

1) 2/3 = 2 * 4/12 = 8/12;

3/4 = 3 * 3/12 = 9/12;

8 < 9;

Ответ: 2/3 < 3/4.

2) 2 2/3 = (2 * 3 + 2) / 3 = 8/3 = 8 * 4/12 = 32/12;

2 3/4 = (2 * 4 + 3) / 4 = 11/4 = 11 * 3/12 = 33/12;

32 < 33;

Ответ: 2 2/3 < 2 3/4.

3) 3 2/3 = (3 * 3 + 2) / 3 = 11/3 = 11 * 4/12 = 44/12;

5 3/4 = (5 * 4 + 3) / 4 = 23/4 = 23 * 3/12 = 69/12;

44 < 69;

Ответ: 3 2/3 < 5 3/4.

4) 5 2/3 = (4 * 3 + 2) / 3 = 14/3 = 14 * 4/12 = 56/12;

3 3/4 = (3 * 4 + 3) / 4 = 15/4 = 15 * 3/12 = 45/12;

56 > 45;

Ответ: 5 2/3 > 3 3/4.