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1/2+5/6+11/12+19/20+…… +89/90+109/110 =1-1/2+1-1/6+1-1/12…… +1-1/110 =10-(1/2+1/6+1/12…… +1/110) =10-(1/2+1/2-1/3+1/3-1/4+1/5-1/5…… +1/10-1/11) =10-10/11 =100/11
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