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13问答网 > 脱式计算题一又二分之一＋二又六分之一＋三又十二分之一＋.＋十又一百一十分之一＝

脱式计算题一又二分之一＋二又六分之一＋三又十二分之一＋.＋十又一百一十分之一＝

2025-03-15 20:36:29

推荐回答（1个）

回答1：

1又1/2+2又1/6+3又1/12+.+10又1/110
=(1+2+3+.+10)+(1/2+1/6+1/12+.+1/110)
=(1+10)*10/2+(1-1/2+1/2-1/3+1/3-1/4+.+1/10-1/11)
=55+1-1/11
=55又10/11

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