Question

/一。‘|‘一|一'

求|1/2-1|+|1/3-1/2|+|1/4-1/3|+.+|1/100-1/99|的结果
要带有算式的,还要讲清楚每一步的过程,是一道初一的计算题

Answer 1

|1/2-1|+|1/3-1/2|+|1/陆高粗4-1/3|+.+|1/100-1/99|
=|1-1/念数2|+|1/2-1/3|+|1/早镇3-1/4|+.+|1/99-1/100|
=1-1/2+1/2-1/3+1/3-1/4+.+1/99-1/100
=1-1/100
=99/100