题目

3/4+1/20+1/30+1/42+1/56+1/72 求如何简便点的计算

提问时间：2020-07-13

答案

3/4+1/20+1/30+1/42+1/56+1/72
=(1-1/4)+(1/4-1/5)+(1/5-1/6)+(6/1-1/7)+(1/7-1/8)+(1/8-1/9)
=1-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9
=1-1/9
=8/9