Ta có :
\(A=\frac{2012.14+1997+2010.2011}{2011.5+2011.1008+1012.2011}\)
\(\Rightarrow A=\frac{\left(2011+1\right).14+1997+2010.2011}{2011.\left(5+1008+1012\right)}\)
\(\Rightarrow A=\frac{2011.14+14+1997+2010.2011}{2011.2025}\)
\(\Rightarrow A=\frac{2011.14+2011+2010.2011}{2011.2025}\)
\(\Rightarrow A=\frac{2011.\left(14+1+2011\right)}{2011.2025}\)
\(\Rightarrow A=\frac{2011.25}{2011.25}\)
\(\Rightarrow A=1\) ( tử số = mẫu số )
Vậy \(A=1\)
~ Ủng hộ nhé
_Vào phần câu hỏi tương tự là có nhé bạn
\(A=\frac{2012\times14+1997+2010\times2011}{2011\times5+2011\times1008+1012\times2011}\)
\(A=\frac{\left(2011+1\right)\times14+1997+2010\times2011}{2011\times\left(5+1008+1012\right)}\)
\(A=\frac{2011\times14+\left(14+1997\right)+2010\times2011}{2011\times2025}\)
\(A=\frac{2011\times14+2011+2010\times2011}{2011\times2025}\)
\(A=\frac{2011\times\left(14+1+2010\right)}{2011\times2025}\)
\(A=\frac{2011\times2025}{2011\times2025}\)
\(A=1\)