30分之1加42分之1加56分之1加72分之1加90分之1等于多少

问题描述:

30分之1加42分之1加56分之1加72分之1加90分之1等于多少

1/30+1/42+1/56+1/72+1/90
=1/(5*6)+1/(6*7)+1/(7*8)+1/(8*9)+1/(9*10)
=(1/5-1/6)+(1/6-1/7)+(1/7-1/8)+(1/8-1/9)+(1/9-1/10)
=1/5-1/10
=1/10

1/30+1/42+1/56+1/72+1/90
=1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10
=1/5-1/10
=1/10

30分之1加42分之1加56分之1加72分之1加90分之1
=(1/5-1/6)+(1/6-1/7)+(1/7-1/8)+(1/8-1/9)+(1/9-1/10)
=1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10
=1/5-1/10
=1/10

30分之1加42分之1加56分之1加72分之1加90分之1
=1/(5*6)+1/(6*7)+1/(7*8)+……+1/(9*10)
=1/5-1/6+1/6-1/7+1/7-1/8+……+1/9-1/10
=1/5-1/10
=1/10.