Вычислите1) (1/4-2/3) * (4/5-2/15) * (-3/5); 2) (1/6-5/9) * (1/2-3/7) * 7 целых1/5; 3) (5/6-2/3) * (7/8-1/2) * (-4)

Question

Александра Сизова

Математика

4 января, 09:16

Вычислите1) (1/4-2/3) * (4/5-2/15) * (-3/5); 2) (1/6-5/9) * (1/2-3/7) * 7 целых1/5; 3) (5/6-2/3) * (7/8-1/2) * (-4)

+4

Ответы (1)

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Lari · Answer 1

1) (1/4 - 2/3) * (4/5 - 2/15) * (-3/5) = (3/12 - 8/12) * (12/15 - 2/15) * (-3/5) = ( - 5/12) * 10/15 * (-3/5) = 5/12 * 10/15 * 3/5 = (5 * 10 * 3) / (12 * 15 * 5) = 2 / (4 * 3) = 2/12 = 1/6.

Ответ: 1/6.

2) (1/6 - 5/9) * (1/2 - 3/7) * 7 1/5 = (3/18 - 10/18) * (7/14 - 6/14) * (7 * 5 + 1) / 5 = - 7/18 * 1/14 * (35 + 1) / 5 = - 7/18 * 1/14 * 36/5 = (-7 * 1 * 36) / (18 * 14 * 5) = (-2) / (2 * 5) = - 1/5.

Ответ: - 1/5.

3) (5/6 - 2/3) * (7/8 - 1/2) * (-4) = (5/6 - 4/6) * (7/8 - 4/8) * (-4) = 1/6 * 3/8 * (-4) = - (3 * 4) / (6 * 8) = - 1/4.

Ответ: - 1/4.