1 8/15 + 0,7 : (-1 3/4 + 2 5/6 - 3 1/8) = 1 92/105
1) -1 3/4 + 2 5/6 = 2 5/6 - 1 3/4 = 2 20/24 - 1 18/24 = 1 2/24 = 1 1/12
2) 1 1/12 - 3 1/8 = 1 2/24 - 3 3/24 = -(3 3/24 - 1 2/24) = -2 1/24
3) 0,7 : (-2 1/24) = 7/10 : 49/24 = 7/10 · 24/49 = (1·12)/(5·7) = 12/35
4) 1 8/15 + 12/35 = 1 56/105 + 36/105 = 1 92/105
Ответ: 1 целая 92/105.
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1 8/15 + 0,7 : (-1 3/4 + 2 5/6 - 3 1/8) = 1 92/105
1) -1 3/4 + 2 5/6 = 2 5/6 - 1 3/4 = 2 20/24 - 1 18/24 = 1 2/24 = 1 1/12
2) 1 1/12 - 3 1/8 = 1 2/24 - 3 3/24 = -(3 3/24 - 1 2/24) = -2 1/24
3) 0,7 : (-2 1/24) = 7/10 : 49/24 = 7/10 · 24/49 = (1·12)/(5·7) = 12/35
4) 1 8/15 + 12/35 = 1 56/105 + 36/105 = 1 92/105
Ответ: 1 целая 92/105.