用简便方法计算(1+1/2+1/3+1/4)x(1/2+1/3+1/4+1/6)—(1+1/2+1/3+1/4+1/5)
来源:学生作业帮 编辑:大师作文网作业帮 分类:数学作业 时间:2024/10/05 01:23:08
用简便方法计算(1+1/2+1/3+1/4)x(1/2+1/3+1/4+1/6)—(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+1/6)—(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+1/2+1/3+1/4)x1/5—(1+1/2+1/3+1/4)x(1/2+1/3+1/4) -1/5x(1/2+1/3+1/4)
=(1+1/2+1/3+1/4)x1/5 -1/5x(1/2+1/3+1/4)
=1/5
=(1+1/2+1/3+1/4)x(1/2+1/3+1/4)+(1+1/2+1/3+1/4)x1/5—(1+1/2+1/3+1/4)x(1/2+1/3+1/4) -1/5x(1/2+1/3+1/4)
=(1+1/2+1/3+1/4)x1/5 -1/5x(1/2+1/3+1/4)
=1/5
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