2) (1 1/2 - 2/3) / (1/6 + 1/9) = 3
1) 1 1/2 - 2/3 = 1 3/6 - 4/6 = 9/6 - 4/6 = 5/6
2) 1/6 + 1/9 = 3/18 + 2/18 = 5/18
3) 5/6 : 5/18 = 5/6 · 18/5 = 18/6 = 3
ответ: 3.
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3) (1/3 - 2/15) / (1/5 - 1/7) = 3 1/2
1) 1/3 - 2/15 = 10/30 - 4/30 = 6/30 = 1/5
2) 1/5 - 1/7 = 7/35 - 5/35 = 2/35
3) 1/5 : 2/35 = 1/5 · 35/2 = (1·7)/(1·2) = 7/2 = 3 1/2
ответ: 3 целых 1/2.
4) (1/4 - 1/6) / (3/8 - 1/3) = 2
1) 1/4 - 1/6 = 3/12 - 2/12 = 1/12
2) 3/8 - 1/3 = 9/24 - 8/24 = 1/24
3) 1/12 : 1/24 = 1/12 · 24/1 = 24/12 = 2
ответ: 2.
2) (1 1/2 - 2/3) / (1/6 + 1/9) = 3
1) 1 1/2 - 2/3 = 1 3/6 - 4/6 = 9/6 - 4/6 = 5/6
2) 1/6 + 1/9 = 3/18 + 2/18 = 5/18
3) 5/6 : 5/18 = 5/6 · 18/5 = 18/6 = 3
ответ: 3.
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3) (1/3 - 2/15) / (1/5 - 1/7) = 3 1/2
1) 1/3 - 2/15 = 10/30 - 4/30 = 6/30 = 1/5
2) 1/5 - 1/7 = 7/35 - 5/35 = 2/35
3) 1/5 : 2/35 = 1/5 · 35/2 = (1·7)/(1·2) = 7/2 = 3 1/2
ответ: 3 целых 1/2.
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4) (1/4 - 1/6) / (3/8 - 1/3) = 2
1) 1/4 - 1/6 = 3/12 - 2/12 = 1/12
2) 3/8 - 1/3 = 9/24 - 8/24 = 1/24
3) 1/12 : 1/24 = 1/12 · 24/1 = 24/12 = 2
ответ: 2.