7. Calculate: $\frac{1^{2}+2^{2}}{1 \times 2}+\frac{2^{2}+3^{2}}{2 \times 3}+\ldots+\frac{100^{2}+101^{2}}{100 \times 101}=$ $\qquad$.(where $n^{2}=n \times n$ )
Reference answer: $200 \frac{100}{101}$