1-1/2+1/6+1/12+1/20+1/30+1/42+1/36,能简便的要简便计算

来源：学生作业帮助网编辑：作业帮时间：2024/05/12 00:40:19

1-1/2+1/6+1/12+1/20+1/30+1/42+1/36,能简便的要简便计算
1-1/2+1/6+1/12+1/20+1/30+1/42+1/36,能简便的要简便计算

1-1/2+1/6+1/12+1/20+1/30+1/42+1/36,能简便的要简便计算
1-1/2+1/6+1/12+1/20+1/30+1/42+1/56
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8
=1-1/8
=7/8

最后是1/56吧
原式=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8=1-1/8=7/8