Số lượng số của dãy số trên là : 

( 80 - 41 ) : 1 + 1 = 40 ( số ) 

Ta có : 

\(\frac{1}{41}>\frac{1}{80};\frac{1}{42}>\frac{1}{80};...;\frac{1}{80}=\frac{1}{80}\)

\(\Rightarrow\frac{1}{41}+\frac{1}{42}+...+\frac{1}{80}>\frac{1}{80}+\frac{1}{80}+...+\frac{1}{80}\)( 40 số ) 

\(\Rightarrow\frac{1}{41}+\frac{1}{42}+...+\frac{1}{80}>\frac{1}{80}.40=\frac{1}{2}\left(1\right)\)

Ta có : 
\(\frac{1}{41}< \frac{1}{40};\frac{1}{42}< \frac{1}{40};...;\frac{1}{80}< \frac{1}{40}\)

\(\Rightarrow\frac{1}{41}+\frac{1}{42}+...+\frac{1}{80}< \frac{1}{40}+\frac{1}{40}+...+\frac{1}{40}\)( 40 số ) 

\(\Rightarrow\frac{1}{41}+\frac{1}{42}+...+\frac{1}{80}>\frac{1}{40}.40=1\left(2\right)\)

Từ \(\left(1\right);\left(2\right)\Rightarrow\frac{1}{2}< \frac{1}{41}+\frac{1}{42}+...+\frac{1}{80}< 1\left(Đpcm\right)\)

Chúc bạn học tốt !!! 

Ta có: 
7/12 = 4/12 + 3/12 = 1/3 + 1/4 = 20/60 + 20/80 

1/41 + 1/42 + 1/43 +...+ 1/79 + 1/80 = (1/41 + 1/42 + 1/43 + ...+ 1/60) + (1/61 + 1/62 +...+ 1/79 + 1/80) 

Do 1/41> 1/42 > 1/43 > ...>1/59 > 1/60 
=> (1/41 + 1/42 + 1/43 + ...+ 1/60) > 1/60 + ...+ 1/60 = 20/60 

và 1/61> 1/62> ... >1/79> 1/80 
=> (1/61 + 1/62 +...+ 1/79 + 1/80) > 1/80 + ...+ 1/80 = 20/80 

Vậy: 1/41 + 1/42 + 1/43 +...+ 1/79 + 1/80 > 20/60 + 20/80 = 7/12 

=> 1/41 + 1/42 + 1/43 +...+ 1/79 + 1/80 > 7/12 
 

xin lỗi mk làm nhầm đề

{ 234 + 4567 } * 23 = 110 423

tk mình nha 

mình tk lại cho 

[234 

[234

[234+4567]*23=110 423

35 k mk đi

12+23=35

bang 35

    a,      \(6.x.5.\left(x-2\right)=23\)

\(\Leftrightarrow30x.\left(x-2\right)=23\)

\(\Leftrightarrow\orbr{\begin{cases}30x=1\\x-20=23\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{30}\\x=43\end{cases}}\left(1\right)}\)

\(\Leftrightarrow\orbr{\begin{cases}30x=23\\x-20=1\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{23}{30}\\x=21\end{cases}\left(2\right)}}\)

\(\Leftrightarrow\orbr{\begin{cases}30x=-1\\x-20=-23\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-\frac{1}{30}\\x=-3\end{cases}}\left(3\right)}\)

\(\Leftrightarrow\orbr{\begin{cases}30x=-23\\x-20=-1\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-\frac{23}{30}\\x=19\end{cases}}}\)

b,    \(42-\left(2x+32\right)+12:2=6\)

\(\Leftrightarrow42-\left(2x+32\right)+6=6\)

\(\Leftrightarrow42-\left(2x+32\right)=0\)

\(\Leftrightarrow2x-32=42\)

\(\Leftrightarrow2x=74\)

\(\Leftrightarrow x=37\)

a)  \(23\times57+42\times23+23=23\times\left(57+42+1\right)\)

     \(=23\times100=2300\)

b)  \(\frac{2}{9}\times\frac{5}{7}+\frac{2}{9}\times\frac{2}{7}=\frac{2}{9}\times\left(\frac{5}{7}+\frac{2}{7}\right)\)

    \(=\frac{2}{9}\times1=\frac{2}{9}\)

a) 23 x 57 + 42 x 23 + 23

= 23 x ( 57 + 42 + 1 )

= 23 x 100

= 2300

b) \(\frac{2}{9}\times\frac{5}{7}+\frac{2}{9}\times\frac{2}{7}\)

\(=\frac{2}{9}\times\left(\frac{5}{7}+\frac{2}{7}\right)\)

\(=\frac{2}{9}\times1\)

\(=\frac{2}{9}\)

Học tốt #

a) \(23\text{​​}\times57+42\text{​​}\times23+23\)

\(=23\text{​​}\times\left(57+42+1\right)\)

\(=23\text{​​}\times100\)

\(=2300\)

b) \(\frac{2}{9}\text{​​}\times\frac{5}{7}+\frac{2}{9\text{​​}}\text{​​}\times\frac{2}{7}\)

\(=\frac{2}{9}\text{​​}\times\left(\frac{5}{7}+\frac{2}{7}\right)\)

\(=\frac{2}{9}\text{​​}\times1\)

\(=\frac{2}{9}\)

_Chúc bạn học tốt_

(-1,32- 23/7) - ( 6,68 + 5/8 - 2/7)

=\(\frac{-806}{175}\)- \(\frac{8877}{1400}\)

=\(\frac{-613}{56}\)

(-1/32 - 23/7) - (6,68 + 5/8 - 2/7)

= -1,32 - 23/7 - 6,68 - 5/8 + 2/7

= (-1,32 - 6,68) - (23/7 - 2/7) - 5/8

= -8 - 3 - 5/8

= -11 - 5/8

= -93/8

Ta có : \(-\frac{132}{100}-\frac{23}{7}-\frac{668}{100}+\frac{5}{8}\)\(+\frac{2}{7}\)

\(=\frac{-33}{25}-\frac{23}{7}-\frac{167}{25}-\frac{5}{8}\)\(+\frac{2}{7}\)

\(=\frac{-33}{25}-\frac{167}{25}-\frac{23}{7}+\frac{2}{7}-\frac{5}{8}\)

\(=\frac{-200}{25}-\frac{21}{7}-\frac{5}{8}\)

\(=-8-3-\frac{5}{8}\)

\(=-\frac{93}{8}\)

97989 nha mình nhé

97989

k mk đi 

mk nhanh nhất

2000000x100=200000000

= 200 000 000 nha bạn 

200000000

nhớ tk mk nhé các bn

Hello : Xin Chào

Hello : xin chào
 Chúc bn hk tốt!

xin chào nha bạn