作业帮1/4+1/12+1/24+1/40+1/84+1/112+1/144+1/180
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/11/08 20:37:48
1/4+1/12+1/24+1/40+1/84+1/112+1/144+1/180
1/4+1/12+1/24+1/40+1/84+1/112+1/144+1/180
=1/4+(1/4-1/6)+(1/6-1/8)+(1/8-1/10)+(1/12-1/14)+(1/14-1/16)+(1/16-1/18)+(1/18-1/20)
=1/4+1/4-1/6+1/6-1/8+1/8-1/10+1/12-1/14+1/14-1/16+1/16-1/18+1/18-1/20
=(1/4+1/4)-(1/6-1/6)-(1/8-1/8)-(1/10-1/12)-(1/14-1/14)-(1/16-1/16)-(1/18-1/18)-1/20
=1/2-1/60-1/20
=13/30
如果在1/40后再加上1/60,计算时会更简便.
=1/4+(1/4-1/6)+(1/6-1/8)+(1/8-1/10)+(1/12-1/14)+(1/14-1/16)+(1/16-1/18)+(1/18-1/20)
=1/4+1/4-1/6+1/6-1/8+1/8-1/10+1/12-1/14+1/14-1/16+1/16-1/18+1/18-1/20
=(1/4+1/4)-(1/6-1/6)-(1/8-1/8)-(1/10-1/12)-(1/14-1/14)-(1/16-1/16)-(1/18-1/18)-1/20
=1/2-1/60-1/20
=13/30
如果在1/40后再加上1/60,计算时会更简便.
1/4+1/12+1/24+1/40+1/84+1/112+1/144+1/180
1/12+1/24+1/40+1/60+1/84+1/112+1/144+1/180
巧算1/4+1/12+1/24+1/40+1/60+1/84+1/112
1/4+1/12+1/24+1/40+1/60+1/84+1/112
巧算1/4+1/12+1/24+1/40+1/60+1/84+1/112求详细过程
巧算：4分之1+12分之1+24分之1+40分之1+60分之1+84分之1+112分之1
4分之1+12分之1+24分之1+40分之1+60分之1+...+180分之1=?
计算：4分之1+12分之1+24分之1+40分之1+60分之1+...+180分之1=?
计算1/4+1/12+1/24+1/40+···+1/180,过程也写一下、教教
1/4+1/12+1/24+1/40.+1/19800
4/1+12/1+24/1+40/1+.19800/1
简算!4分之1+12分之1+24分之1+40分之1+60分之1