Вычислить. (1/4-2/3) * (4/5-2/15) * (-3/5). (1/6-5/9) * (1/2-3/7) 7. 1/5

Question

Мария Агеева

Математика

29 марта, 06:51

Вычислить. (1/4-2/3) * (4/5-2/15) * (-3/5). (1/6-5/9) * (1/2-3/7) 7. 1/5

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Алёна Савельева · Answer 1

(1/4 - 2/3) * (4/5 - 2/15) * (-3/5) = 1/6.

1). 1/4 - 2/3 = (1 * 3) / (4 * 3) - (2 * 4) / (3 * 4) = 3/12 - 8/12 = - 5/12;

2). 4/5 - 2/15 = (4 * 3) / (5 * 3) - 2/15 = 12/15 - 2/15 = 10/15;

3). - 5/12 * 10/15 = - (5 * 10) / (12 * 15) = - 50/180. = - 5/18;

4) - 5/18 * (-3/5) = (5 * 3) / (18 * 5) = 15/90 = 1/6.

(1/6 - 5/9) * (1/2 - 3/7) * 1/5 = - 1/180.

1). 1/6 - 5/9 = (1 * 9) / (6 * 9) - (5 * 6) / (9 * 6) = 9/54 - 30/54 = - 21/54 = - 7/18;

2). 1/2 - 3/7 = (1 * 7) / (2 * 7) - (3 * 2) / (7 * 2) = 7/14 - 6/14 = 1/14;

3). - 7/18 * 1/14 = - (7 * 1) / (18 * 14) = - 7/252 = - 1/36;

4). - 1/36 * 1/5 = - (1 * 1) / (36 * 5) = - 1/180.