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![](https://rs.olm.vn/images/avt/0.png?1311)
a) 1/2 + 3/4 - (3/4 - 4 - 5)
= 1/2 + 3/4 - 3/4 + 4 + 5
= (3/4 - 3/4) + (4 + 5) + 1/2
= 0 + 9 + 1/2
= 19/2
b) [9/16 + 8/(-27)] - (19/27- 7/16 - 2)
= 9/16 - 8/27 - 19/27 + 7/16 + 2
= (9/16 + 7/16) + (-8/27 - 19/27) + 2
= 1 - 1 + 2
= 2
c) -5/8 . [4/9 + 7/(-12)]
= -5/8 . (-5/36)
= 25/288
d) 7/10 . (-3/5) + 7/10 . (-2/5) - (-3/10)
= 7/10 . (-3/5 - 2/5) + 3/10
= 7/10 . (-1) + 3/10
= -2/5
e) -3/7 . 5/9 + 4/9 . (-3/7) + 2 3/7
= -3/7 . (5/9 + 4/9) + 17/7
= -3/7 . 1 + 17/7
= 2
f) 8 2/7 - (3 4/9 + 4 2/7)
= 8 + 2/7 - 3 - 4/9 - 4 - 2/7
= (8 - 3 - 4) + (2/7 - 2/7) - 4/9
= 1 - 4/9
= 5/9
h) 3.(-1/2)² - (4/5 + 8/15) : 5/6
= 3.1/4 - 4/3 : 5/6
= 3/4 - 8/5
= -17/20
![](https://rs.olm.vn/images/avt/0.png?1311)
1 Tính nhanh
a) \(-14+12+\left(-12\right)\left(2^3-7\right)\)
\(=-14+\left[12+\left(-12\right)\right].1\)
\(=-14+0.1\)
\(=-14+0=-14\)
b) \(\left(-5\right)+2\left(-15\right)-\left(-3\right)+\left|-10\right|\)
\(=\left(-5\right)+\left(-30\right)-\left(-3\right)+10\)
\(=\left(-35\right)-\left(-3\right)+10\)
\(=\left(-32\right)+10\)
\(=-22\)
c) \(68.\left(12+32\right)-32.\left(68-12\right)\)
\(=68.44-32.56\)
\(=2992-1792\)
\(=1200\)
d) \(89-\left(-43\right)-32\)
\(=132-32\)
\(=100\)
e) \(-12.\left(-6\right)^2+\left(-4\right)^3.12\)
\(=-12.36+64.12\)
\(=\left(-12+12\right).\left(36+64\right)\)
\(=0+100\)
\(=100\)
a: \(=105-96=9\)
b: =225+108=333
c: =-8x9-8x(-27)
\(=-8\left(9-27\right)=144\)
d: \(=1\cdot5+\left(-8\right)\cdot6-\left(-27\right)\cdot7=5-48+189=146\)