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hok tốt :)))

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17 tháng 1 2023

Ta có : 

\(A=\dfrac{2019\times2020}{2019\times2020+1}=\dfrac{2019\times2020+1-1}{2019\times2020+1}=1-\dfrac{1}{2019\times2020+1}\)

Suy ra  A < 1 (1) 

Lại có \(B=\dfrac{2020}{2019}=\dfrac{2019+1}{2019}=\dfrac{2019}{2019}+\dfrac{1}{2019}=1+\dfrac{1}{2019}\)

Suy ra B > 1 (2) 

Từ (1) và (2) ta có : A < 1 < B

=> A < B

Vậy A < B  

 

Dấu ''\(x\)'' là dấu nhân chăng ? 

 \(A=\frac{2019x2020}{2019x2020+1}\)và \(B=\frac{2020}{2021}\)

Bài ra ta có : 

Xét \(A=\frac{2019x2020}{2019x\left(2020+1\right)}=\frac{2020}{2020+1}=\frac{2020}{2021}\)

Vì \(\frac{2020}{2021}=\frac{2020}{2021}\)

Suy ra A = B theo (ĐPCM)

6 tháng 11 2021

a=(2021-2019) x 2020/2019x2020+(2020 +1)x7+2013

=1x2020/2019x2020+2020x7+1x7+2013

=2020/(2019+7)x2020+2020

=2020/(2019+1+70) x2020

=2020/2027 x2020

=2020/4112783

6 tháng 11 2021

Mình cảm ơn ạ nếu bạn có thời gian làm giúp mình câu b c d đc k ạ?:3

a: 43/52>26/52=1/2=60/120

b: 17/68=1/4<1/3=35/105<35/103

c: \(\dfrac{2018\cdot2019-1}{2018\cdot2019}=1-\dfrac{1}{2018\cdot2019}\)

\(\dfrac{2019\cdot2020-1}{2019\cdot2020}=1-\dfrac{1}{2019\cdot2020}\)

2018*2019<2019*2020

=>-1/2018*2019<-1/2019*2020

=>\(\dfrac{2018\cdot2019-1}{2018\cdot2019}< \dfrac{2019\cdot2020-1}{2019\cdot2020}\)

8 tháng 8 2020

\(A=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{2019.2020}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-...+\frac{1}{2019}-\frac{1}{2020}\)

\(=1-\frac{1}{2020}>1\)

8 tháng 8 2020

Thank you bạn dcv new ^ ^

1 tháng 12 2023

Có: \(2022>2020\)

\(\Rightarrow\dfrac{1}{2022}< \dfrac{1}{2020}\)

\(\Rightarrow\dfrac{2021}{2022}< \dfrac{2021}{2020}\)

14 tháng 3 2022

2020/2021 < 1 < 2021/2020 

Suy ra 2020/2021 < 2021/2020 

 

17 tháng 1 2022

\(\dfrac{2021}{2022}=\dfrac{2020}{2021}\)

17 tháng 1 2022

\(\dfrac{2021}{2022}\) và \(\dfrac{2020}{2021}\)

\(\dfrac{2021}{2022}=1-\dfrac{1}{2022}\)

\(\dfrac{2020}{2021}=1-\dfrac{1}{2021}\)

\(\text{Vì }\)\(\dfrac{1}{2022}>\dfrac{1}{2021}=>1-\dfrac{1}{2022}>1-\dfrac{1}{2021}=>\dfrac{2021}{2022}>\dfrac{2020}{2021}\)