1/2+1/6+1/12+1/20＋1/30+1/42+1/56+1/72怎么简便计算？

Answer 1

1/2+1/6+1/12+1/20＋1/30+1/42+1/56+1/72
=1-1/2+1/2-1/3+1/3-1/4+....+1/7-1/8+1/8-1/9
=1-1/9
=8/9
=9分之8
朋友，请【采纳答案】，您的采纳是我答题的动力，谢谢。

Answer 2

1-1/2+1/2-1/3+1/3-1/4+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
请采纳，你的采纳是我上进的动力！可以追问，一直到懂！!