( 1999 x 1998 + 1998 x 1997 ) x \(\left(1+\frac{1}{2}:1\frac{1}{2}-1\frac{1}{3}\right)\)
= ( 1999 x 1998 + 1998 x 1997 ) x \(\left(1+\frac{1}{2}:\frac{3}{2}-\frac{4}{3}\right)\)
= ( 1999 x 1998 + 1998 x 1997 ) x \(\left(1+\frac{1}{3}-\frac{4}{3}\right)\)
= ( 1999 x 1998 + 1998 x 1997 ) x 0
= 0