Выполните действия 1)2 1/2×(2/15-3 5/6)-2 3/4 2)-1 1/7×(4/5+19/20)×(6 5/6+4 2/3) 3)(6 3/8 - 2 3/4)×(-4)+7/18×9 49 1/6:(4 1/3-8)+24×3/8
1) 2 1/2 = 5/2 2/15 = 2/15 3 5/6 = 23/6 2 3/4 = 11/4
2 1/2 × (2/15 - 3 5/6) - 2 3/4 = 5/2 × (2/15 - 23/6) - 11/4 = 5/2 × (2/15 - 23/6) - 11/4 = 5/2 × (-131/30) - 11/4 = -655/60 - 11/4 = -131/12 - 33/12 = -164/12 = -41/3
2) -1 1/7 = -8/7 4/5 = 4/5 19/20 = 19/20 6 5/6 = 41/6 4 2/3 = 14/3
-1 1/7 × (4/5 + 19/20) × (6 5/6 + 4 2/3) = -8/7 × (4/5 + 19/20) × (41/6 + 14/3) = -8/7 × (4/5 + 19/20) × (41/6 + 28/6) = -8/7 × (4/5 + 19/20) × (69/6) = -8/7 × (4/5 + 19/20) × (23/2) = -8/7 × (81/100) × (23/2) = -8/7 × 81/100 × 23/2 = -162/700 × 23/2 = -3519/14000
- 6 3/8 = 51/8 2 3/4 = 11/4
(6 3/8 - 2 3/4) × (-4) + 7/18 × 9 = (51/8 - 11/4) × (-4) + 7/18 × 9 = (51/8 - 22/8) × (-4) + 7/18 × 9 = (29/8) × (-4) + 7/18 × 9 = -116/8 + 7/18 × 9 = -116/8 + 63/18 = -58/4 + 7/18 × 9 = -29/2 + 7/18 × 9 = -29/2 + 7/2 = -22/2 = -11
- 49 1/6 = 295/6 4 1/3 = 13/3 8 = 8 24 = 24
49 1/6 : (4 1/3 - 8) + 24 × 3/8 = 295/6 : (13/3 - 8) + 24 × 3/8 = 295/6 : (13/3 - 24/3) + 24 × 3/8 = 295/6 : (-11/3) + 72/8 = 295/6 : (-11/3) + 9 = 295/6 × (-3/11) + 9 = -295/22 + 198/22 = (-295 + 198)/22 = -97/22
