巧算:2/1-6/1-12/1-20/1-30/1-42/1-56/1-72/1

问题描述:

巧算:2/1-6/1-12/1-20/1-30/1-42/1-56/1-72/1

1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90
=1-1/2+1/2-1/3+1/3-1/4+……1/9-1/10(除了1与1/10,两两抵消)
=1-1/10
=9/10