3+1/5/12+1/3) + (2+1/3+3/4) - (1+1/1+2/3). решите

Question

Ариана Иванова

Математика

13 ноября, 02:40

3+1/5/12+1/3) + (2+1/3+3/4) - (1+1/1+2/3). решите

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Карина Пономарева · Answer 1

1) 1/5 : 12 = 1/5 * 1/12 = 1/60;

2) 3 + 1/60 = 3 1/60;

3) 3 1/60 + 1/3 = 181/60 + 1/3 = (181 * 1 + 1 * 20) / 60 = 201/60 = 67/20 = 3 7/20;

4) 2 + 1/3 = 2 1/3;

5) 2 1/3 + 3/4 = 7/3 + 3/4 = (7 * 4 + 3 * 3) / 12 = (28 + 9) / 12 = 37/12 = 3 1/12;

6) 1 + 1/1 = 1 + 1 = 2;

7) 2 + 2/3 = 2 2/3;

8) 3 7/20 + 3 1/12 = 67/20 + 37/12 = (67 * 3 + 37 * 5) / 60 = (201 + 185) / 60 = 386/60 = 193/30 = 6 13/30;

9) 6 13/30 - 2 2/3 = 193/30 - 8/3 = (193 * 1 - 8 * 10) / 30 = (193 - 80) / 30 = 113/30 = 3 23/30.

Ответ: 3 23/30.