1又1/21又1/31又1/4..1又1/100咋算

来源：学生作业帮助网编辑：作业帮时间：2024/05/10 10:58:50

1又1/2*1又1/3*1又1/4*..*1又1/100咋算
1又1/2*1又1/3*1又1/4*..*1又1/100咋算

1又1/2*1又1/3*1又1/4*..*1又1/100咋算
1又1/2*1又1/3*1又1/4*..*1又1/100
=3/2*4/3*...*101/100
=(3*4*..*100*101)/(2*3*..*100)
=101/2

3/2*4/3*5/4*......101*100=50.5

每个数都换成假分数:
1又1/2*1又1/3*1又1/4*.。。*1又1/100
=(3/2)(4/3)*.。。*(101/100)
=约分=101/2