1又1/2+2又1/6+3又1/12+4又1/20+5又1/30=几

问题描述:

1又1/2+2又1/6+3又1/12+4又1/20+5又1/30=几

=1+2+3+4+5+(1/2+1/6+1/12+1/20+1/30)=15+(30+10+5+3+2)/60=15又5/6

15又5/6

1又1/2+2又1/6+3又1/12+4又1/20+5又1/30 =(1+2+3+4+5)+(1/2+1/6+1/12+1/20+1/30) =5*6/2+((1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)) =15+(1-1/6) =15+5/6 =95/6