Calculate:  $$1 + \frac{1}{2}+ \frac{2}{2}+ \frac{1}{2}+ \frac{1}{3}+ \frac{2}{3}+ \frac{3}{3}+ \frac{2}{3}+ \frac{1}{3}+ \cdots + \frac{1}{10}+\frac{2}{10}+ \cdots + \frac{9}{10}+ \frac{10}{10}+ \frac{9}{10}+ \cdots + \frac{1}{10}=$$~\uline{~~~~~~~~~~}~ 
Overseas Competition->Knowledge Point->Calculation Modules->Fractions