Вычислите: 1) (3 1/3+5 1/6) * 2/5-2 3/4: (1 1/2-2/5) = ?

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Математика

9 августа, 09:35

Вычислите: 1) (3 1/3+5 1/6) * 2/5-2 3/4: (1 1/2-2/5) = ?

+4

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Согги · Answer 1

1) (3 1/3 + 5 1/6) * 2/5 - 2 3/4 : (1 1/2 - 2/5) = - 1/10.

1). 3 1/3 + 5 1/6 = 10/3 + 31/6 = (10 * 2) / (3 * 2) + 31/6 = 20/6 + 31/6 = 51/6 = 8 3/6 = 8 1/2;

2). 1 1/2 - 2/5 = 3/2 - 2/5 = (3 * 5) / (2 * 5) - (2 * 2) / (5 * 2) = 15/10 - 4/10 = 11/10 = 1 1/10;

3). 8 1/2 * 2/5 = 17/2 * 2/5 = (17 * 2) / (2 * 5) = 34/10 = 12/5 = 2 2/5;

4). 2 3/4 : 1 1/10 = 11/4 : 11/10 = 11/4 * 10/11 = (11 * 10) / (4 * 11) = 110/44 = 10/4 = 5/2 = 2 1/2;

5). 2 2/5 - 2 1/2 = 12/5 - 5/2 = (12 * 2) / (5 * 2) - (5 * 5) / (2 * 5) = 24/10 - 25/10 = - 1/10.