一道小小的数学算数题,题中是四个代分数相加2001又1/110+2002又1/132+2003又1/156+2004又1/182四个代分数,不会只能用通分的办法吧,

Question

一道小小的数学算数题,题中是四个代分数相加
2001又1/110+2002又1/132+2003又1/156+2004又1/182
四个代分数,不会只能用通分的办法吧,

Answer 1

2001 1/110+2002 1/132+2003 1/156+2004 1/182
=(2001+2002+2003+2004)+(1/110+1/132+1/156+1/182)
=(2001+2004)×4÷2+[(1/10-1/11)+(1/11-1/12)+(1/12-1/13)+(1/13-1/14)]
=4005×4÷2+[1/10-1/11+1/11-1/12+1/12-1/13+1/13-1/14]
=16020÷2+[1/10-1/14]
=8010+1/35
=8010又1/35