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Lời giải:
\(\frac{2022\times 2023-3}{2023\times 2021+2020}=\frac{2023\times (2021+1)-3}{2023\times 2021+2020}
\\
=\frac{2023\times 2021+2023-3}{2023\times 2021+2020}=\frac{2023\times 2021+2020}{2023\times 2021+2020}=1\)
a) (x - 15) × 7 - 270 : 45 = 169
(x - 15) × 7 - 6 = 169
(x - 15) × 7 = 169 + 6
(x - 15) × 7 = 175
x - 15 = 175 : 7
x - 15 = 25
x = 25 + 15
x = 40
b) [(4x + 28) × 3 + 55] : 5 = 35
(4x + 28) × 3 + 55 = 35 × 5
(4x + 28) × 3 + 55 = 175
(4x + 28) × 3 = 175 - 55
(4x + 28) × 3 = 120
4x + 28 = 120 : 3
4x + 28 = 40
4x = 40 - 28
4x = 12
x = 12 : 4
x = 3
c) (455 × x : 2 × 6) : 5 = 31
455 × x : 2 × 6 = 31 × 5
455 × x : 2 × 6 = 155
x × 455 : 2 × 6 = 155
x × 1365 = 155
x = 155 : 1365
x = 31/273
d) 128 × x - 12 × x - 16 × x = 520800
(128 - 12 - 16) × x = 520800
100 × x = 520800
x = 520800 : 100
x = 5208
e) (x × 0,25 + 2022) × 2023 = (50 + 2022) × 2023
(x × 0,25 + 2022) × 2023 = 2072 × 2023
(x × 0,25 + 2022) × 2023 = 4191656
x × 0,25 + 2022 = 4191656 : 2023
x × 0,25 + 2022 = 2072
x × 0,25 = 2072 - 2022
x × 0,25 = 50
x = 50 : 0,25
x = 200
f) 4 × x + 100 = x + 280
4 × x - x = 280 - 100
(4 - 1) × x = 180
3 × x = 180
x = 180 : 3
x = 60
g) (x + 1) + (x + 2) + (x + 3) + ... + (x + 100) = 7450
x + 1 + x + 2 + x + 3 + ... + x + 100 = 7450
100 × x + 100 × 101 : 2 = 7450
100 × x + 5050 = 7450
100 × x = 7450 - 5050
100 × x = 2400
x = 2400 : 100
x = 24
X : (1+0,5+0,25+0,125)=2022
X : 1,875 = 2022
X = 1078,4
x+x:0,5+x:0,25+x:0,125 = 2022
x.(1+1/2+1/4+1/8) = 2022
x.15/8 = 2022
x = 2022: 15/8
x = 1078,4
Không cần tính, ta thấy : 2022/2021 > 2021/2022
Vậy : 2022/2021*2023 > 2021/2022*2022
Nhỏ hơn
Ta có 2020/2021 <1
2021/2022 <1
2022/2023 <1
2023/2024 <1
Suy ra A=(2021/2021+2021/2022 +2022/2023 +2023/2024) < (1+1+1+1)= 4
Vậy A <4
Chúc bạn học tốt
\(\dfrac{2020}{2021}< 1\)
\(\dfrac{2021}{2022}< 1\)
\(\dfrac{2021}{2022}< 1\)
\(\dfrac{2023}{2024}< 1\)
Do đó: A<4
A = ( 2022 x 0,75 + 2022 : 4) - ( 2021 : 0,1 : 10)
= (2022 x 0,75 + 2022 x 0,25) - ( 2021 : 1/10 : 10)
= 2022 x(0,75+0,25) - 2021x 10 : 10
= 2022x 1 - 2021
= 2022 - 2021
=1
y + y : 0,25 + 222 - y : 0,5 = 2022
y + y : 1/4 + 222 - y : 1/2 = 2022
y x 1 + y x 4 - y x 2 = 2022 - 222
y x ( 1 + 4 - 2 ) = 1800
y x 3 = 1800
y = 1800 : 3 = 600
2023 x 2022 - 2022 x 2021 + 2022 x 1 + 2022 x 7
= 2022 x (2023 - 2021 + 1 + 7 )
= 2022 x 10
= 20220
y + y : 0,25 + 222 - y : 0,5 = 2022
y + y : 1/4 + 222 - y : 1/2 = 2022
y x 1 + y x 4 - y x 2 = 2022 - 222
y x ( 1 + 4 - 2 ) = 1800
y x 3 = 1800
y = 1800 : 3 = 600
2023 x 2022 - 2022 x 2021 + 2022 x 1 + 2022 x 7
= 2022 x (2023 - 2021 + 1 + 7 )
= 2022 x 10
= 20220