Bài 1
a) 2/5 + 3/5 : (-3/2)
= 2/5 - 2/5
= 0
b) 2/3 + (-1/2)²
= 2/3 + 1/4
= 11/12
c) (1/2)² + (-1/3) : 1/6
= 1/4 - 2
= -7/4
d) 2 1/3 + (-1/3)² - 1,5
= 7/3 + 1/9 - 3/2
= 17/18
e) 3 . 0,5 + (-2)² : 1/2
= 3/2 + 4 : 1/2
= 3/2 + 8
= 19/2
f) 3 - (-6/7)⁰ + (1/2)² : 2
= 3 - 1 + 1/4 : 2
= 2 + 1/8
= 17/8
Bài 2
a) 1/4 + 3/4 : x = 11/36
3/4 : x = 11/36 - 1/4
3/4 : x = 1/18
x = 3/4 . 1/18
x = 1/24
b) -2/3 - (2x - 1/2) = 1,5
2x - 1/2 = -2/3 - 3/2
2x - 1/2 = -13/6
2x = -13/6 + 1/2
2x = -5/3
x = -5/3 : 2
x = -5/6
c) 3(x - 1/5) + 2/5 = 1
3(x - 1/5) = 1- 2/5
3(x - 1/5) = 3/5
x - 1/5 = 3/5 : 3
x - 1/5 = 9/5
x = 9/5 + 1/5
x = 2
d) (x - 0,5) : 3/10 + 1/3 = 1 1/3
(x - 1/2) : 3/10 = 4/3 - 1/3
(x - 1/2) : 3/10 = 1
x - 1/2 = 1 . 3/10
x - 1/2 = 3/10
x = 3/10 + 1/2
x = 4/5
e) (5x - 1)(2x - 1/3) = 0
5x - 1 = 0 hoặc 2x - 1/3 = 0
*) 5x - 1 = 0
5x = 1
x = 1/5
*) 2x - 1/3 = 0
2x = 1/3
x = 1/3 : 2
x = 1/6
Vậy x = 1/6; x = 1/5
f) (x + 1/2)² = 1/4
(x + 1/2)² = (1/2)² hoặc (x + 1/2)² = (-1/2)²
x + 1/2 = 1/2 hoặc x + 1/2 = -1/2
*) x + 1/2 = 1/2
x = 0
*) x + 1/2 = -1/2
x = -1/2 - 1/2
x = -1
Vậy x = -1; x = 0
Bài 3
Chiều dài là: 25,8 . 3/2 = 38,7 (m)
Diện tích khu vườn:
38,7 . 25,8 = 998,46 (m²)