根据1/1除2等于1/1-2/1 2/1除3等于2/1-3/ 算 1/1除2+2/1除3+3/1除4·····+99/1除100等于快

问题描述:

根据1/1除2等于1/1-2/1 2/1除3等于2/1-3/ 算 1/1除2+2/1除3+3/1除4·····+99/1除100等于

1/1除2+2/1除3+3/1除4·····+99/1除100
=1/1-1/2+1/2-1/3+1/3-1/4+……+1/99-1/100
=1-1/100
=99/100