作业帮一道分数巧算题(1+1/2+1/3+1/4)x(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)
来源：学生作业帮 编辑：作业帮 分类：数学作业 时间：2024/07/03 11:50:43
一道分数巧算题
(1+1/2+1/3+1/4)x(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)x(1/2+1/3+1/4)
(1+1/2+1/3+1/4)x(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)x(1/2+1/3+1/4)
(1+1/2+1/3+1/4)x(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)x(1/2+1/3+1/4)
=1*(1/2+1/3+1/4+1/5)+(1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-1*(1/2+1/3+1/4)-(1/2+1/3+1/4+1/5)-(1/2+1/3+1/4)
=1*(1/2+1/3+1/4+1/5-1/2-1/3-1/4)+(1/2+1/3+1/4+1/5)*(1/2+1/3+1/4-1/2-1/3-1/4)
=1*1/5+0
=1/5
累死我了!?!?
=1*(1/2+1/3+1/4+1/5)+(1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-1*(1/2+1/3+1/4)-(1/2+1/3+1/4+1/5)-(1/2+1/3+1/4)
=1*(1/2+1/3+1/4+1/5-1/2-1/3-1/4)+(1/2+1/3+1/4+1/5)*(1/2+1/3+1/4-1/2-1/3-1/4)
=1*1/5+0
=1/5
累死我了!?!?
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