\(A=\frac{2010.2011+4022}{2012.2013-4024}\)
\(A=\frac{2010.2011+2011.2}{2012.2013-2012.2}\)
\(A=\frac{2011.\left(2010+2\right)}{2012.\left(2013-1\right)}\)
\(A=\frac{2011.2012}{2012.2013}=\frac{2011}{2012}\)
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\(A=\frac{2011.\left(2010-2\right)}{2012.\left(2013-2\right)}\)
\(A=\frac{2011.2012}{2012.2011}=1\)