三十分之一加四十二分之一加五十六分之一加七十二分之一怎样简算?

如题
2024-12-28 10:43:53
推荐回答(3个)
回答1:

原式=1/(5*6)+1/(6*7)+1/(7*8)+1/(8*9)
=(1/5-1/6)+(1/6-1/7)(1/7-1/8)+(1/8-1/9)
=1/5-1/9
=4/45

回答2:

1/30=1/5-1/6
1/42=1/6-1/7
........
1/30+1/42+1/56+1/72=1/5-1/9=4/45

回答3:

(5*6)+1/(6*7)+1/(7*8)+1/(8*9)
=4\45