1 2/3+4 1/5 4 4/5+5 1/2 3 1/13+2 2/5 4 1/6+7 2/7 7/9+2 2/9 3 30/37+4/37 5/22+3 17/22 16 13/16+3/16

Question

Сергей Тихомиров

Математика

26 мая, 15:53

1 2/3+4 1/5 4 4/5+5 1/2 3 1/13+2 2/5 4 1/6+7 2/7 7/9+2 2/9 3 30/37+4/37 5/22+3 17/22 16 13/16+3/16

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Эльбрус · Answer 1

1 2/3 + 4 1/5 = (3 + 2) / 3 + (20 + 1) / 5 = 5/3 + 21/5 = (5 * 5) / 15 + (21 * 3) / 15 = 25/15 + 63/15 = (25 + 63) / 15 = 88/15 = 5 13/15.

4 4/5 + 5 1/2 = (20 + 4) / 5 + (10 + 1) / 2 = 24/5 + 11/2 = (24 * 2) / 10 + (11 * 5) / 10 = 48/10 + 55/10 = (48 + 55) / 10 = 103/10 = 10 3/10.

3 1/13 + 2 2/5 = (39 + 1) / 13 + (10 + 2) / 5 = 40/13 + 12/5 = (40 * 5) / 65 + (12 * 13) / 65 = 200/65 + 156/65 = (200 + 156) / 65 = 356/65 = 5 31/65.

4 1/6 + 7 2/7 = (24 + 1) / 6 + (49 + 2) / 7 = 25/6 + 51/7 = (25 * 7) / 42 + (51 * 6) / 42 = 175/42 + 306/42 = (175 + 306) / 42 = 481/42 = 11 19/42.

7/9 + 2 2/9 = 7/9 + (18 + 2) / 9 = 7/9 + 20/9 = (7 + 20) / 9 = 27/9 = 3.

3 30/37 + 4/37 = 3 + (30 + 4) / 37 = 3 34/37.

5/22 + 3 17/22 = 3 + (5 + 17) / 22 = 3 + 22/22 = 4.

16 13/16 + 3/16 = 16 + (13 + 3) / 16 = 16 + 16/16 = 17.