1/6+1/12+1/20+1/30+1/42的简便过程

学习 时间:2026-03-30 15:04:09 阅读:1606
详细过程,数别变,比如把1/6变成1/2,不行不行

最佳回答

激情的篮球

无情的爆米花

2026-03-30 15:04:09

解法一:

1/6+1/12+1/20+1/30+1/42

=1/(2x3)+1/(3x4)+1/(4x5)+1/(5x6)+1/(6x7)

=(1/2-1/3)+(1/3-1/4)+……+(1/6-1/7)

=1/2-1/7

=5/14

解法二:

1/6+1/12+1/20+1/30+1/42

=(1/6+1/12)+(1/20+1/30)+1/42

=1/4+1/12+1/42

=1/3+1/42

=5/14

最新回答共有2条回答

  • 干净的帽子
    回复
    2026-03-30 15:04:09

    解法一:

    1/6+1/12+1/20+1/30+1/42

    =1/(2x3)+1/(3x4)+1/(4x5)+1/(5x6)+1/(6x7)

    =(1/2-1/3)+(1/3-1/4)+……+(1/6-1/7)

    =1/2-1/7

    =5/14

    解法二:

    1/6+1/12+1/20+1/30+1/42

    =(1/6+1/12)+(1/20+1/30)+1/42

    =1/4+1/12+1/42

    =1/3+1/42

    =5/14

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