|1-1\2|+|1\2-1\3|+|1\3-1\4|+|1\5-1\6|+|1\7-1\8|+|1\9-1\10|…|1\99-1\100| =(1-1/2)+(1/2-1/3)+……+(1/99-1/100) =1-1/100 =99/100
希望采纳