1/2+1/6+1/12+1/20.1/110怎样计算?

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1/2+1/6+1/12+1/20.1/110怎样计算?1/2+1/6+1/12+1/20.1/110怎样计算?1/2+1/6+1/12+1/20.1/110怎样计算?1/2+(1/2-1/3)+(1

1/2+1/6+1/12+1/20.1/110怎样计算?
1/2+1/6+1/12+1/20.1/110怎样计算?

1/2+1/6+1/12+1/20.1/110怎样计算?
1/2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+.+(1/10-1/11)
=1/2+1/2-1/11
=1-1/11
=10/11

1/2+1/6+1/12+1/20......1/110
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+...+1/10-1/11
=1-1/11
=10/11

2=1*2
6=2*3
20=4*5
=1-1/2+1/2-1/3+1/3-1/4......+1/10-1/11
=1-1/11
=10/11

1/2+1/6+1/12+1/20......1/110
=1/2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+......+(1/10-1/11)
=1/2+1/2-1/11
=1-1/11
=10/11

1/2+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+......+(1/10-1/11)
=1/2+1/2-1/11
=1-1/11
=10/11