\(\frac{1996X1997+1998X3}{1997X1999-1997X1997}\)=\(\frac{3986012+5994}{3992003-3988009}\)=\(\frac{3992006}{3994}\)=\(\frac{1996003}{1997}\)
1996 x 1997 + 1998 x \(\frac{3}{1997}\)x 1999 - 1997 x 1997
= 3986012 + \(\frac{5994}{1997}\)x 1999 - 1997 x 1997
= 3986012 + 6000003005 x 1999 - 1997 x 1997
= 3986012 + 1199400601 - 3988009
= 1203386613 - 3988009
= 1199398604