草原之夜马头琴:1/24+1/120+1/360+1/840+1/630= 最简单的方法

来源:百度文库 编辑:高考问答 时间:2024/04/29 09:42:19
1/24+1/120+1/360+1/840+1/630= 最简单的方法

1/24+1/120+1/360+1/840+1/630 =(1/24+1/840)+(1/120+1/360+1/630) =35/840+(3/360+1/360+1/630) =35/840+(4/360+1/630) =35/840+(1/90+1/630) =35/840+(7/630+1/630) =35/840+8/630 =3/70+4/315 =945/22050+280/22050 =1/80

1/24+1/120+1/360+1/840+1/630=1/24+3/360+1/360+1/840+1/630=1/24+4/360+1/840+1/630=1/24+1/90+1/840+1/630=20/840+7/630+1/840+1/630=25/840+8/630=5/168+4/315=2247/52920

哈哈
按计算器噻
这个分组来算可能比较简单

1/24+1/120+1/360+1/840+1/630
=1/360*(15+3+1)+1/210*(1/4+1/3)
=1/360*19+1/210*7/12
=19/360+1/360
=20/360
=1/18