Question

Найти значение выражения:
1 8/15+0,7:(-1 3/4+2 5/6-3 1/8)

Answer 1

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.