Ответ: Вариант III и IV (решение ниже)
5 + 41/5 ⋅ (-11/4) = 5 + 21/5 ⋅ (-5/4) = 5 - 21/4 = 20/4 - 21/4 = -1/4
-52/3 : 41/8 - 51/7 = -17/3 : 33/8 - 36/7 = -17/3 ⋅ 8/33 - 36/7 = -136/99 - 36/7 = -952/693 - 3564/693 = -4516/693 = -6358/693
237/11 + 42/11 : (-53/4) = 260/11 + 46/11 : (-23/4) = 260/11 + 46/11 ⋅ (-4/23) = 260/11 - 8/11 = 252/11 = 2210/11
5/7 - (51/4 - 21/11 : 7/4) = 5/7 - (21/4 - 23/11 ⋅ 4/7) = 5/7 - (21/4 - 92/77) = 5/7 - (1617/308 - 368/308) = 5/7 - 1249/308 = 220/308 - 1249/308 = -1029/308 = -3105/308 = -315/44
52/15 ⋅ (7 - 122/15) + 122/15 ⋅ (52/15 - 7) = 77/15 ⋅ (7 - 182/15) + 182/15 ⋅ (77/15 - 7) = 77/15 ⋅ (105/15 - 182/15) + 182/15 ⋅ (77/15 - 105/15) = 77/15 ⋅ (-77/15) + 182/15 ⋅ (-28/15) = -5929/225 - 5096/225 = -11025/225 = -49
7 + 15/9 ⋅ (-61/2) = 7 + 14/9 ⋅ (-13/2) = 7 - 14/9 ⋅ 13/2 = 7 - 7/9 ⋅ 13/1 = 7 - 91/9 = 63/9 - 91/9 = -28/9 = -31/9
45/7 : (-51/2) - 53/4 : 31/2 = 33/7 : (-11/2) - 23/4 : 7/2 = 33/7 ⋅ (-2/11) - 23/4 ⋅ 2/7 = -3/7 ⋅ 2/1 - 23/2 ⋅ 1/7 = -6/7 - 23/14 = -12/14 - 23/14 = -35/14 = -27/14 = -21/2
32/3 + 31/13 : (-12/3) = 11/3 + 40/13 : (-5/3) = 11/3 + 40/13 ⋅ (-3/5) = 11/3 - 8/13 ⋅ 3/1 = 11/3 - 24/13 = 143/39 - 72/39 = 71/39 = 132/39
8/9 - (42/7 - 31/2 : 11/2) = 8/9 - (30/7 - 7/2 : 3/2) = 8/9 - (30/7 - 7/2 ⋅ 2/3) = 8/9 - (30/7 - 7/3) = 8/9 - (90/21 - 49/21) = 8/9 - 41/21 = 56/63 - 123/63 = -67/63 = -14/63
52/15 ⋅ (9 - 132/15) + 132/15 ⋅ (21/15 - 9) = 77/15 ⋅ (9 - 197/15) + 197/15 ⋅ (31/15 - 9) = 77/15 ⋅ (135/15 - 197/15) + 197/15 ⋅ (31/15 - 135/15) = 77/15 ⋅ (-62/15) + 197/15 ⋅ (-104/15) = -4774/225 - 20488/225 = -25262/225 = -112112/225
Ответ: Вариант III и IV (решение выше)
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