(1+1/3+1/5+1/10+1/15+1/30)÷(1/2+1/4+1/6+1/12+1/20+1/60)
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/05 11:53:26
(1+1/3+1/5+1/10+1/15+1/30)÷(1/2+1/4+1/6+1/12+1/20+1/60)
一定要是简便运算!
一定要是简便运算!
![(1+1/3+1/5+1/10+1/15+1/30)÷(1/2+1/4+1/6+1/12+1/20+1/60)](/uploads/image/z/8513776-64-6.jpg?t=%EF%BC%881%2B1%2F3%2B1%2F5%2B1%2F10%2B1%2F15%2B1%2F30%EF%BC%89%C3%B7%EF%BC%881%2F2%2B1%2F4%2B1%2F6%2B1%2F12%2B1%2F20%2B1%2F60%EF%BC%89)
可直接通分计算,上面的公分母化成30,下面化成60.
一分钟就出来了:
原式可变型为
(30/30+10/30+6/30+3/30+2/30+1/30)÷(30/60+15/60+10/60+5/60+3/60+1/60)
=(52/30)/(64/60)
=13/8
一分钟就出来了:
原式可变型为
(30/30+10/30+6/30+3/30+2/30+1/30)÷(30/60+15/60+10/60+5/60+3/60+1/60)
=(52/30)/(64/60)
=13/8
简算:(1+1/3+1/5+1/10+1/15+1/30)÷(1/2+1/4+1/6+1/12+1/20+1/60)=?
(1+1/3+1/5+1/10+1/15+1/30)÷(1/2+1/4+1/6+1/12+1/20+1/60)
(1+1/3+1/5+1/10+1/15+1/30)/(1/2+1/4+1/6+1/12+1/20+1/60)(用简算)
(1+1/3+1/5+1/10+1/15+1/30)/(1/2+1/4+1/6+1/12+1/20+1/60)=R
(1/2+1/4+1/6+1/10+1/12+1/60)/(1+1/3+1/5+1/10+1/15+1/30)
2/1 3/1 4/1 5/1 6/1 8/1 10/1 12/1 15/1 20/1
1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1
(1+3分之1+5分之1+10分之1+15分之1+30分之1)÷(2分之1+4分之1+6分之1+12分之1+60分之1)
(1+2/1)(1+4/1)(1+6/1).(1+10/)(1-3/1)(1—5/1).(1-9/1)
(1-1/2)*(1-1/3)*(1-1/4)*(1-1/5)*(1-1/6)*…*(1-1/19)*(1-1/20)=
(1/2-1/3)+(1/4-1/5)+(1/7-1/10)+(1/14-1/15)+(1/28-1/30)
(1/2-1/3)+(1/4-1/5)+(1/7-1/10)+(1/14-1/15)+(1/28-1/30))