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1-1/2 1/3-1/4 1/5…… 1/50=?你的问题有点不清楚,两个分数之间是乘号吧?1-(1/2)*(1/3)-(1/3)*(1/4)-……-(1/49)*(1/50)=1-(1/2-1/3)-(1/3-1/4)-……-(1/49-1/50)=1-1/2+1/3-1/3+1/4-……-1/49+1/50=1-1/2+1/50=13/25关健是 (1/2)*(1/3)=1/2-1/3 (1/3)*(1/4)=1/3-1/4 …… (1/49)*(1/50)=1/49-1/50
1-1/2 1/3-1/4 1/5…… 1/50=?你的问题有点不清楚,两个分数之间是乘号吧?1-(1/2)*(1/3)-(1/3)*(1/4)-……-(1/49)*(1/50)=1-(1/2-1/3)-(1/3-1/4)-……-(1/49-1/50)=1-1/2+1/3-1/3+1/4-……-1/49+1/50=1-1/2+1/50=13/25关健是 (1/2)*(1/3)=1/2-1/3 (1/3)*(1/4)=1/3-1/4 …… (1/49)*(1/50)=1/49-1/50