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)

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/02 21:11:56

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)
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)

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