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\(\dfrac{1004}{1005}< \dfrac{1005}{1006}< \dfrac{1006}{1007}< \dfrac{1007}{1008}\)
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\(\frac{2006\times2007-2593}{2005\times2006+1419}\)
\(=\frac{2005\times2006+4012-2593}{2005\times2006+1419}\)
\(=\frac{2005\times2006+1419}{2005\times2006+1419}\)
\(=1\)
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= 2006 x ( 2005 + 2 ) - 1997 / 2006 x 2005 + 2015
= 2006 x 2005 + 2006 x 2 -1997 / 2006 x 2005 + 2015
= 2006 x 2005 + 4012 - 1997 / 2006 x 2005 + 2015
= 2006 x 2015 + 2015 / 2006 x 2005 + 2015
= 1
Nhớ k nha
\(\frac{2006\times2007-1997}{2006\times2005+2015}=\frac{2006\times\left(2005+2\right)-1997}{2006\times2005+2015}\)
\(=\frac{2006\times2005+2006\times2-1997}{2006\times2005+2015}\)
\(=\frac{2006\times2005+4012-1997}{2006\times2005+2015}=\frac{2006\times2005+2015}{2006\times2005+2015}=1\)
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\(\frac{2005X2008-1005}{2006X2007-1007}\)=\(\frac{4026040-1005}{4026042-1007}\)=\(\frac{4025035}{4025035}\)=1
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\(=\frac{2006x\left(2005+2\right)-1997}{2006x2005+2015}=\frac{2006x2005+4012-1997}{2006x2005+2015}=\frac{2006x2005+2015}{2006x2005+2015}=1\)
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\(\frac{2011}{2010}\times\frac{2012}{2011}\times\frac{2013}{2012}\times\frac{2014}{2013}\times\frac{1005}{1007}\)
\(=\frac{2014}{2010}\times\frac{1005}{1007}\)
\(=\frac{2\times1007\times1005}{2\times1005\times1007}\)
\(=1\)
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A = \(\frac{1006.2013-1005}{1005.2013+1006}\)
A = \(\frac{\left(1005+1\right).2013-1005}{1005.2013+1006}\)
A = \(\frac{1005.2013+2013-1005}{1005.2013+1006}\)
A = \(\frac{1005.2013+1006}{1005.2013+1006}\)
A = 1
\(A=\dfrac{2005\times2008-1005}{2006\times2007-1007}\)
\(=\dfrac{2005\times2008-2005+1000}{2006\times2007-2007+1000}\)
\(=\dfrac{2005\times2007+1000}{2007\times2005+1000}=1\)