Вычислите 7/15 + (2/15+1/15) 3/16 + (1/16+5/8) (1/13+1/14) + 12/13 12/17+15/24+3/8+5/17 3/7+5/9+4/9+4/7

Question

Miledi

Математика

30 июля, 13:14

Вычислите 7/15 + (2/15+1/15) 3/16 + (1/16+5/8) (1/13+1/14) + 12/13 12/17+15/24+3/8+5/17 3/7+5/9+4/9+4/7

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Екатерина Степанова · Answer 1

Вычислим значения:

1. 7/15 + (2/15 + 1/15) = 2/3;

1) 2/15 + 1/15 = (2 + 1) / 15 = 3/15;

2) 7/15 + 3/15 = (7 + 3) / 15 = 10/15 = 2/3.

2. 3/16 + (1/16 + 5/8) = 7/8;

1) 1/16 + 5/8 = (1 + 2 * 5) / 16 = (1 + 10) / 16 = 11/16;

2) 3/16 + 11/16 = (3 + 11) / 16 = 14/16 = 7/8.

3. (1/13 + 1/14) + 12/13 = 1/13 + 1/14 + 12/13 = 1 1/14;

1) 1/13 + 12/13 = 13/13 = 1;

2) 1 + 1/14 = 1 1/14.

4. 12/17 + 15/24 + 3/8 + 5/17 = 2;

1) 12/17 + 5/17 = (12 + 5) / 17 = 17/17 = 1;

2) 15/24 + 3/8 = 15/24 + 9/24 = 24/24 = 1;

3) 1 + 1 = 2.

5. 3/7 + 5/9 + 4/9 + 4/7 = 2;

1) 3/7 + 4/7 = 7/7 = 1;

2) 5/9 + 4/9 = 9/9 = 1;

3) 1 + 1 = 2.