1/20+1/30+1/42+1/56+1/72+1/90+1/110+1/132=?能不能简便运算?

来源：学生作业帮助网编辑：作业帮时间：2024/05/03 00:43:45

1/20+1/30+1/42+1/56+1/72+1/90+1/110+1/132=?能不能简便运算?
1/20+1/30+1/42+1/56+1/72+1/90+1/110+1/132=?
能不能简便运算?

1/20+1/30+1/42+1/56+1/72+1/90+1/110+1/132=?能不能简便运算?
1/20+1/30+1/42+1/56+1/72+1/90+1/110+1/132
=1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+……+1/11-1/12
=1/4-1/12
=3/12-1/12
=2/12
=1/6

1/20+1/30+1/42+1/56+1/72+1/90+1/110+1/132
=1/5-1/6+1/6-1/7+1/7-1/8+……+1/11-1/12
=1/5-1/12
=7/60

1/20=1/4-1/5
1/30=1/5-1/6
......
1/20+1/30+1/42+1/56+1/72+1/90+1/110+1/132=1/4-1/12=1/6

=1/（4*5）+1/（5*6）+1/（6*7）+1/（7*8）+1/（8*9）+1/（9*10）+1/（10*11）+1/（11*12）=1/4-1/5+1/5-1/6+~~~~~+1/10-1/11+1/11-1/12=1/4-1/12=1/6

1/20+1/30+1/42+1/56简便计算, 1/20+1/30+1/42+1/56=1/20+1/30+1/42+1/56= 1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72 1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72 1/2+1/6+1/12+1/20+1/30+1/42+1/56 简算 1/2+1/6+1/12+1/20+1/30+1/42+1/56简算, 1/12+1/20+1/30+1/42+1/56+1/72+1/90 简便运算：1/2+1/6+1/12+1/20+1/30+1/42+1/56 2/1+6/1+12/1+20/1+30/1+42/1+56/1=? 1/12+1/20+1/30+1/42+1/56+1/72+1/90 1/6+1/12+1/20+1/30+1/42+1/56+1/72 简便计算 1/2 - 1/6 - 1/12 - 1/20 - 1/30 - 1/42 - 1/56怎么算 1/2+1/6+1/12+1/20+1/30+1/42+1/56 1/2-1/6-1/12-1/20-1/30-1/42-1/56等于多少 2/1+6/1+12/1+20/1+30/1+42/1+56/1= 1/2+1/6+1/12+1/20+1/30+1/42+1/56= 1/2+1/6+1/12+1/20+1/30+1/42+1/56 1/2+1/6+1/12+1/20+1/30+1/42+1/56