(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+……+(1/19-1/20) (去括号)
=1/2-1/3+1/3-1/4+1/4-1/5+……+1/19-1/20 (中间的项两两相消)
=1/2-1/20
=9/20