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Thầy Hùng Olm
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29 tháng 5 2023

\(\dfrac{2020x13+13+2007+2020x2007}{2020x\left(1+520+1500\right)}\)

\(\dfrac{2020x\left(1+13+2007\right)}{2020x\left(1+520+1500\right)}=\dfrac{2021}{2021}=1\)

29 tháng 5 2023

A = \(\dfrac{2021\times13+2007+2020\times2007}{2020+2020\times520+1500\times2020}\)

A = \(\dfrac{2021\times13+\left(2007+2020\times2007\right)}{2020+2020\times520+1500\times2020}\)

A = \(\dfrac{2021\times13+2007\times\left(1+2020\right)}{2020\times\left(1+520+1500\right)}\)

A = \(\dfrac{2021\times13+2007\times2021}{2020\times2021}\)

A = \(\dfrac{2021\times\left(13+2007\right)}{2021\times2020}\)

A = \(\dfrac{2021\times2020}{2021\times2020}\)

A = 1

6 tháng 5 2023

B = \(\dfrac{2021\times13+2007+2020\times2007}{2020+2020\times520+1500\times2020}\)

B = \(\dfrac{2021\times13+2007\times\left(1+2020\right)}{2020\times\left(1+520+1500\right)}\)

B = \(\dfrac{2021\times13+2007\times2021}{2020\times2021}\)

B = \(\dfrac{2021\times\left(13+2007\right)}{2021\times2020}\)

B = \(\dfrac{2021\times2020}{2021\times2020}\)

B = 1

22 tháng 7 2020

B=2021 x 13 + 2009 + 2020 x 2007/2020 + 2020 x520x2020

B=2021 x 13 +2009+2020/1x2007/2020 +2020x520x2020

B=26273+2009+20201/1x2007/20201+2121808000

B=28282+2007+2121808000

B=2121838289

16 tháng 4 2022

Ta có : \(\dfrac{2005}{2007}=1-\dfrac{2}{2007};\dfrac{2007}{2009}=1-\dfrac{2}{2009}\)

\(Do:\dfrac{2}{2007}>\dfrac{2}{2009}\Rightarrow1-\dfrac{2}{2007}< 1-\dfrac{2}{2009}\)

\(\Rightarrow\dfrac{2005}{2007}< \dfrac{2007}{2009}\)

16 tháng 4 2022

Ta có : 

 

2005/2007=2007-2/2007=2007/2007 -2/2007=1 -2/2007

2007/2009 =2009-2007/2009=2009/2009 -2/2009=1-2009

vì 2007<2009 nên 2/2007>2/2009

⇒1-2/2007 <1-2/2009

⇒2005/2007 <2007/2009

16 tháng 4 2022

Tham khảo nhé !

Ta có : \(\dfrac{2005}{2007}=2007-\dfrac{2}{2007}=\dfrac{2007}{2007}-\dfrac{2}{2007}=1-\dfrac{2}{2007}\)

\(\dfrac{2007}{2009}=2009-\dfrac{2007}{2009}=\dfrac{2009}{2009}-\dfrac{2}{2009}=1-2009\)

Vì \(2007<2009\) nên \(\dfrac{2}{2007}>\dfrac{2}{2009}\)

\(1-\dfrac{2}{2007}< 1-\dfrac{2}{2009}\)

\(\dfrac{2005}{2007}< \dfrac{2007}{2009}\)

1 tháng 7 2023

\(\dfrac{2018\times2020+2020\times2022}{2020\times4040}\\ =\dfrac{2020\times\left(2018+2022\right)}{2020\times4040}\\ =\dfrac{2020\times4040}{2020\times4040}\\ =1\)

1 tháng 7 2023

\(\dfrac{2018\times2020+2020\times2022}{2020\times4040}\)

\(=\dfrac{2020\times\left(2018+2022\right)}{2020\times4040}\)

\(=\dfrac{2018+2022}{4040}\)

\(=\dfrac{4040}{4040}\)

\(=1\)

7 tháng 3 2022

Mình ko bt

Mình ko bt 

Hì hì😅😅

\(\left(1+\frac{1}{2005}\right)\left(1+\frac{1}{2006}\right)...\left(1+\frac{1}{2020}\right)\)

\(=\frac{2006}{2005}\cdot\frac{2007}{2006}\cdot...\cdot\frac{2021}{2020}\)

\(=\frac{2021}{2005}\)