\(\frac{1996\times1997+1998\times3+1994}{1997\times1999-1997-1997}=\frac{1996\times1997+\left(1997+1\right)\times3+1994}{1997\times\left(1999-1-1\right)}\)
\(=\frac{1997\times1996+1997\times3+1997}{1997\times1997}=\frac{1997\times\left(1996+3+1\right)}{1997\times1997}=\frac{2000}{1997}\)