Вычеслите: ((1 2/3) : 1 2/5-5/6) * 4 2/7 + (28-27 6/7) * 53

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Математика

Вячеслав

18 марта, 01:45

Вычеслите: ((1 2/3) : 1 2/5-5/6) * 4 2/7 + (28-27 6/7) * 53

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Ванюта · Answer 1

((1 2/3) : 1 2/5 - 5/6) * 4 2/7 + (28 - 27 6/7) * 53 = 9 5/49

1) 1 2/3 : 1 2/5 = 5/3 : 7/5 = 5/3 * 5/7 = 25/21 = 1 4/21

2) 1 4/21 - 5/6 = 1 8/42 - 35/42 = 50/42 - 35/42 = 15/42 = 5/14

3) 5/14 * 4 2/7 = 5/14 * 30/7 = (5*15) / (7*7) = 75/49 = 1 26/49

4) 28 - 27 6/7 = 27 7/7 - 27 6/7 = 1/7

5) 1/7 * 53 = 53/7 = 7 4/7

6) 1 26/49 + 7 4/7 = 1 26/49 + 7 28/49 = 8 54/49 = 9 5/49