\(\frac{1996\times1997+1998\times3+1994}{1997\times1999-1997\times1997}\)
= \(\frac{1996\times1997+\left(1997+1\times3\right)+1994}{1997\times1999-1997\times1997}\)
= \(\frac{1996\times1998+1\times3+1994}{1997\times1999-1997\times1997}\)
= \(\frac{3990005}{1997\times1999-1997\times1997}\)
= \(\frac{3990005}{\left(1999-1997\right)\times1997}\)
= \(\frac{3990005}{3994}\)