1/12+1/20+1/30+1/42+1/56
=1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8
+1/4可以和-1/4抵消,按此计算,只剩下1/3-1/8
通分后为8/24-3/24=5/24
所以答案为5/24