What is the value of $$\frac{1^{2}+2^{2}}{1\times 2}+ \frac{2^{2}+3^{2}}{2 \times 3}+ \frac{3^{2}+4^{2}}{3 \times 4}+ \ldots + \frac{2007^{2}+2008^{2}}{2007 \times 2008}$$ when it is rounded to the nearest whole number? 
Overseas Competition->Knowledge Point->Calculation Modules->Splitting Terms and Finding the General Term->Splitting Terms of Fractions