2分之1+6分之1+12分之1+20分之1+30分之1=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/08 01:32:48

2分之1+6分之1+12分之1+20分之1+30分之1=?
2分之1+6分之1+12分之1+20分之1+30分之1=?

2分之1+6分之1+12分之1+20分之1+30分之1=?
1/2+1/6+1/12+1/20+1/30
=1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)-(1/5-1/6)【用乘法分配率】
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6
=1-1/6(因为加一个数再减去相同的数等于不加不减)
=5/6

1/2+1/6+1/12+1/20+1/30
=1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)-(1/5-1/6)【用乘法分配率】
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6
=1-1/6
=5/6

5/6

36分之25

楼主,你好 我是这样解得 Look(看)
1/2+1/6+1/12+1/20+1/30
=1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)-(1/5-1/6)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6
=1-1/6
=5/6

6分之5

6分之5