А) (7/15+7/30+4/5) : (2-1/3-1/2) ; б) (1/6+1/10+1/15) : (3/5-1/3-1/4).

Question

Математика

Гермес

31 октября, 14:58

А) (7/15+7/30+4/5) : (2-1/3-1/2) ; б) (1/6+1/10+1/15) : (3/5-1/3-1/4).

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Идея · Answer 1

А) (7/15 + 7/30 + 4/5) : (2 - 1/3 - 1/2) = 1 2/7

1) 7/15 + 7/30 = 14/30 + 7/30 = 21/30 = 7/10

2) 7/10 + 4/5 = 7/10 + 8/10 = 15/10 = 1 5/10 = 1 1/2

3) 2 - 1/3 = 1 3/3 - 1/3 = 1 2/3

4) 1 2/3 - 1/2 = 1 4/6 - 3/6 = 1 1/6

5) 1 1/2 : 1 1/6 = 3/2 : 7/6 = 3/2 * 6/7 = 18/14 = 1 4/14 = 1 2/7

б) (1/6 + 1/10 + 1/15) : (3/5 - 1/3 - 1/4) = 20

1) 1/6 + 1/10 = 5/30 + 3/30 = 8/30 = 4/15

2) 4/15 + 1/15 = 5/15 = 1/3

3) 3/5 - 1/3 = 9/15 - 5/15 = 4/15

4) 4/15 - 1/4 = 16/60 - 15/60 = 1/60

5) 1/3 : 1/60 = 1/3 * 60/1 = 60/3 = 20