1*4/1+4*7/1+7*10/1。。。+97*100/1
来源:百度知道 编辑:UC知道 时间:2024/05/06 10:04:27
=(3/1)*(1-4/1+4/1-7/1+7/1-10/1+……+97/1-100/1)
=(3/1)*(1-100/1)
=100/33,即100分之33
1/1*4+1/4*7+1/7*10+...........+1/97*100
=(1-1/4+1/4-1/7+..........+1/97-1/100)/3
=(1-1/100)/3
=97/300
原式=1/3(1-1/4)+1/3(1/4-1/7)+1/3(1/7-1/10)+...+1/3(1/97-1/100)
=1/3(1/1-1/4+1/4-1/7+1/7-1/10+..+1/97-1/100)
=1/3(1-1/100)=33/100
33/100,一百分之三十三
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