你可以这样算
(1/6+1/7+1/8)*(1/7+1/8+1/9)-(1/6+1/7+1/8+1/9)*(1/7+1/8)=[(1/6+1/7+1/8)-(1/7+1/8)]*1/9
=(1/6+1/7+1/8-1/7-1/8)*1/9
=1/6*1/9
=1/54
你可以这样算
(1/6+1/7+1/8)*(1/7+1/8+1/9)-(1/6+1/7+1/8+1/9)*(1/7+1/8)=[(1/6+1/7+1/8)-(1/7+1/8)]*1/9
=(1/6+1/7+1/8-1/7-1/8)*1/9
=1/6*1/9
=1/54