\(\frac{2014\times1008-1008}{4026+2014\times2013}=\frac{1008\times\left(2014-1\right)}{2013\times2+2014\times2013}=\frac{1008\times2013}{2013\times\left(2+2014\right)}\)

\(=\frac{1008\times2013}{2013\times2016}=\frac{1}{2}\)

Trả lời:

\(\frac{2014\times1008-1008}{4026+2014\times2013}=\frac{1008\times\left(2014-1\right)}{2013\times\left(2+2014\right)}\)

                                             \(=\frac{1008\times2013}{2013\times2016}\)

                                             \(=\frac{1}{2}\)

2014x1008-1008x1/2x2013+2014x2013=1008x[2014-1]/2013x[2014+2]=1008x2013/2013x2016 rút gọn =1/2 mình không cần bạn k chỉ cần bạn kết bạn với mình mình khôn nghông của  ai hết

A=\(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{2013}-\frac{1}{2014}\)

tick đi mình giải cho

ngu như con lợn á

\(\dfrac{x+1}{2014}+\dfrac{x+2}{2013}+.....+\dfrac{x+1007}{1008}=\dfrac{x+1008}{1007}+\dfrac{x+1009}{1006}+........+\dfrac{x+2014}{1}\)\(\Leftrightarrow\left(\dfrac{x+1}{2014}+1\right)+\left(\dfrac{x+2}{2013}+1\right)+...+\left(\dfrac{x+1007}{1008}+1\right)=\left(\dfrac{x+1008}{1007}+1\right)+\left(\dfrac{x+1009}{1006}+1\right)+...+\left(\dfrac{x+2014}{1}+1\right)\)\(\Leftrightarrow\dfrac{x+2015}{2014}+\dfrac{x+2015}{2013}+...+\dfrac{x+1007}{1008}=\dfrac{x+2015}{1007}+\dfrac{x+1009}{1006}+...+\dfrac{x+2014}{1}\)\(\Leftrightarrow\dfrac{x+2015}{2014}+\dfrac{x+2015}{2013}+...+\dfrac{x+2015}{1008}-\dfrac{x+1008}{1007}-\dfrac{x+2015}{1006}-...-\dfrac{x+2015}{1}=0\)\(\Leftrightarrow\left(x+2015\right)\left(\dfrac{1}{2014}+\dfrac{1}{2013}+...+\dfrac{1}{1008}-\dfrac{1}{1007}-\dfrac{1}{1006}-...-1\right)=0\)\(\Leftrightarrow x+2015=0\left(\dfrac{1}{2014}+\dfrac{1}{2013}+...+\dfrac{1}{1008}-\dfrac{1}{1007}-\dfrac{1}{1006}-...-1>0\right)\)\(\Leftrightarrow x=-2015\)

Vậy x=-2015

A = 1/1008 + 1/2013 - 1/2006*2007 -> A cho giá trị là số âm (lớp 5 hs không học số âm) -> đề sai