1/2+1/6+1/12+1/20+1/30+1/42=?用综合算式
5个回答

1、这道题要用“分数的拆分法”来解答,就是说把题中的各个分数拆成下面的减法算式,从而形成加减抵消啦.

1/2=1-1/2;

1/6=1/2-1/3;

1/12=1/3-1/4;

1/20=1/4-1/5;

1/30=1/5-1/6;

1/42=1/6-1/7

1/2+1/6+1/12+1/20+1/30+1/42

=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7

=1- 1/7

=6/7