观察与计算1/2+1/3-1/5-1/6=1/2-?=?17/72-19/90+21/110-23/132=(1/8+1

1个回答

  • 1/2+1/3-1/5-1/6

    =1/2+(1/3-1/6)-1/5

    =1/2+1/6-1/5

    =15/30+5/30-6/30

    =14/30

    =7/15

    假如是:1/2-1/3+1/5-1/6

    =1/2-(1/3+1/6)+1/5

    =1/2-(3/6)+1/5

    =1/2-1/2+1/5

    =1/5

    17/72-19/90+21/110-23/132

    =(1/8+1/9)-(?)+(?)-(1/11+1/12)

    =(1/8+1/9)-(1/9+1/10)+(1/10+1/11)-(1/11+1/12)

    =1/8+(1/9-1/9)-(1/10-1/10)+(1/11-1/11)-1/12

    =1/8-1/12

    =3/24-2/24

    =1/24