1+1/2-1/3+1/4-1/5+1/6-1/7+1/8-1/9+1/10-1/11+1/12 等于多少 要分数的答案 谢谢

来源:百度知道 编辑:UC知道 时间:2024/06/16 23:13:38
1+1/2-1/3+1/4-1/5+1/6-1/7+1/8-1/9+1/10-1/11+1/12 等于多少 要分数的答案 谢谢

1+(1-1/2)+(1/2-1/3)+...+(1/9-1/10)+(1/10-1/11)=20/11

原题=1+1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+....+1/10-1/11
=1+1-1/11=21/11

解:1+1/2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10+1/10*11
=1+1/2+(1/2-1/3)+(1/3-1/4)+……+(1/10-1/11)
=1+1-1/11
=1+1-1/11
=21/11

1+1/2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10+1/10*11
=1+(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+()1/6-1/7+(1/7-1/8)+(1/8-1/9)+(1/9-1/10)+(1/10-1/11)
=1+1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+)1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10+1/10-1/11
=1+1-1/11
=21/11

9613/27720

先算偶数相加,再奇数相加

偶数减奇数

这是什么的题啊,考计算,耐心

1.3467893217893

99999999999999999999999999999999999999999999999999999999999

1 吧??

1/36

1/36