Вычислите (6 1/8 - 1 3/4) : (9-2 2/10 (5 6/11-3 5/10)) * 1 2/7 (3 5/6-1 2/15) * 5/9 + ((1/20+24/100) * 8 1/3-1 1/6) * 2

Question

Mako

Математика

11 марта, 16:14

Вычислите (6 1/8 - 1 3/4) : (9-2 2/10 (5 6/11-3 5/10)) * 1 2/7 (3 5/6-1 2/15) * 5/9 + ((1/20+24/100) * 8 1/3-1 1/6) * 2

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Полина Попова · Answer 1

1 5 4 3 2 6

(6 1/8 - 1 3/4) : (9 - 2 2/10 * (5 6/11 - 3 5/10)) * 1 2/7 = 1 1/4;

1) 6 1/8 - 1 3/4 = 49/8 - 7/4 = 49/8 - 14/8 = 35/8;

2) 5 6/11 - 3 5/10 = 61/11 - 35/10 = 610/110 - 385/110 = 225/110 = 45/22;

3) 2 2/10 * 45/22 = 22/10 * 45/22 = 45/10;

4) 9 - 45/10 = 90/10 - 45/10 = 45/10;

5) 35/8 : 45/10 = 35/8 * 10/45 = 35/36;

6) 35/36 * 1 2/7 = 35/36 * 9/7 = 5/4 = 1 1/4.

1 5 7 2 3 4 6

(3 5/6 - 1 2/15) * 5/9 + ((1/20 + 24/100) * 8 1/3 - 1 1/6) * 2 = 1 2/27.

1) 3 5/6 - 1 2/15 = 13/6 - 17/15 = 65/30 - 34/30 = 31/30;

2) 1/20 + 24/100 = 5/100 + 24/100 = 29/100;

3) 29/100 * 8 1/3 = 29/100 * 25/3 = 29/12;

4) 29/12 - 1 1/6 = 29/12 - 7/6 = 29/12 - 14/12 = 15/12;

5) 31/30 * 5/9 = 31/54;

6) 15/12 * 2 = 30/12 = 5/2;

7) 31/54 + 5/2 = 31/54 + 27/54 = 58/54 = 29/27 = 1 2/27.