6 5/9 - (2 5/9 + 7/9) = (2 6/7 + 3 4/7) - 2 6/7 = 7 6/13 - 211/13-2/13=

Question

Тимур Золотов

Математика

20 мая, 17:29

6 5/9 - (2 5/9 + 7/9) = (2 6/7 + 3 4/7) - 2 6/7 = 7 6/13 - 211/13-2/13=

+4

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Александр Новиков · Answer 1

1) 6 5/9 - (2 5/9 + 7/9) = (6 * 9 + 5) / 9 - ((2 * 9 + 5) / 9 + 7/9) = (54 + 5) / 9 - ((18 + 5) / 9 + 7/9) = 59/9 - (23/9 + 7/9) = 59/9 - 23/9 - 7/9 = (59 - 23 - 7) / 9 = 29/9;

2) (2 6/7 + 3 4/7) - 2 6/7 = ((2 * 7 + 6) / 7 + (3 * 7 + 4) / 7) - (2 * 7 + 6) / 7 = ((14 + 6) / 7 + (21 + 4) / 7) - (14 + 6) / 7 = (20/7 + 25/7) - 20/7 = (20 + 25 - 20) / 7 = 25/7;

3) 7 6/13 - 211/13 - 2/13 = (7 * 13 + 6) / 13 - 211/13 - 2/13 = 97/13 - 211/13 - 2/13 = (97 - 211 - 2) / 13 = - 116/13.