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1-1/2+5/6-7/12+9/20-11/30 =1-1/2+(1/2+1/3)-(1/3+1/4)+(1/4+1/5)-(1/5+1/6) =1-1/2+1/2+1/3-1/3-1/4+1/4+1/5-1/5-1/6 =1-1/6 =5/6 行...

3/5+6/7+5/6+7/12+9/20+11/30+13/42 =3/5+6/7+(1/2+1/3)+(1/3+1/4)+(1/4+1/5)+(1/5+1/6)+(1/6+1/7) =(3/5+1/5+1/5)+(6/7+1/7)+(1/2+1/4+1/4)+(1/3+1/3+1/6+1/6) =1+1+1+1 =4

3/2-5/6+7/12-9/20+11/30-……+99/2450 =(1+1/2)-(1/2+1/3)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-......+(1/49+1/50) =1+1/2-1/2-1/3+1/3+1/4-1/4-1/5+1/5+1/6-......+1/49+1/50 =1+1/50 =51/50

1-1/2-1/3+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 =1-1/2 =1/2

原式=3/2-(1/2+1/3)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)+(1/7+1/8) =3/2-1/2-1/3+1/3+1/4-1/4-1/5+1/5+1/6-1/6-1/7+1/7+1/8 =3/2-1/2+1/8 =1+1/8 =9/8

您好: 3/2-5/6+7/12-9/20+11/30-13/42 =(1+1/2)-(1/2+1/3)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7) =1-1/7 =6/7 如果本题有什么不明白可以追问,如果满意记得采纳 如果有其他问题请另发或点击向我求助,答题不易,请谅解,谢谢。...

5/6 -7/12 +9/20 -11/30+...+(18+19)/(18×19)-(19+20)/(19×20) =(2+3)/(2×3)-(3+4)/(3×4)+(4+5)/(4×5)-(5+6)/(5×6)+...+(18+19)/(18×19)- (19+20)/(19×20) =(1/2+1/3)-(1/3+1/4)+(1/4+1/5)-(1/5+1/6)+...+(1/18+1/19)-(1/19+1/20) =(1/2+1/3+1/4...

1-1/2+5/6-7/12+9/20-11/30 =1-1/2+(1/2+1/3)-(1/3+1/4)+(1/4+1/5)-(1/5+1/6) =1-1/2+1/2+1/3-1/3-1/4+1/4+1/5-1/5-1/6 =1-1/6 =5/6 行家正解,不明白可以追问!祝您学习进步 满意请点击下面的【选为满意回答】按钮,O(∩_∩)O谢谢

11/6 3/2+(10/12-7/12)-(27/60-22/60)=3/2+3/12-5/60=11/6

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