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Primary school mathematics Olympic Hope Cup
Add the integer part and decimal part of the original formula respectively to obtain

Original formula = (1+2+3+…+10)+(11/kloc-0+…1/0).

Integer part1+2+3+…+10 =1x10/2 = 55.

Pay attention to the law of score:1/6 =1/2-1/3; 1/ 12= 1/3- 1/4… 1/90= 1/9- 1/ 10; 1/ 1 10= 1/ 10- 1/ 1 1

So the fractional part adds up = (1/2-1/3)+(1/3-1/4)+…+(110-/kloc-0).

= 1/2- 1/3+ 1/3- 1/4+...+ 1/9- 1/ 10+ 1/ 10- 1/ 1 1

Note that the middle part has been removed, so the decimal part =1/2-111= 9/22 has been added.

To sum up, the original formula is 55+9/22.