\(-\frac{4}{1.2}-\frac{4}{2.3}-\frac{4}{3.4}-...-\frac{4}{98.99}\)
\(=-4\left(\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{98.99}\right)\)
\(=-4\left(\frac{2-1}{1.2}+\frac{3-2}{2.3}+...+\frac{99-98}{98.99}\right)\)
\(=-4\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{98}-\frac{1}{99}\right)\)
\(=-4\left(1-\frac{1}{99}\right)=-\frac{392}{99}\)