1/2+1/6+1/12+1/20+1/30+1/42简便运算
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/01 01:57:51
![1/2+1/6+1/12+1/20+1/30+1/42简便运算](/uploads/image/z/442583-71-3.jpg?t=1%2F2%2B1%2F6%2B1%2F12%2B1%2F20%2B1%2F30%2B1%2F42%E7%AE%80%E4%BE%BF%E8%BF%90%E7%AE%97)
1/2+1/6+1/12+1/20+1/30+1/42简便运算
1/2+1/6+1/12+1/20+1/30+1/42简便运算
1/2+1/6+1/12+1/20+1/30+1/42简便运算
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)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7
=1-(1/2-1/2)-(1/3-1/3)-(1/4-1/4)-(1/5-1/5)-(1/6-1/6)-1/7
=1-0-0-0-0-0-1/7
=6/7
这样可以么?