2分之1十6分之5十12分之11十20分之19十30分之29十42分之41 56分之55等于多少

2分之1十6分之5十12分之11十20分之19十30分之29十42分之41 56分之55等于多少

2分之1十6分之5十12分之11十20分之19十30分之29十42分之41+56分之55
=1-1/2+1-1/6+1-1/12+1-1/20+1-1/30+1-1/42+1-1/56
=7-(1/2+1/6+1/12+1/20+1/30+1/42+1/56)
=7-(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)
=7-(1-1/8)
=7-7/8
=6又1/8

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1/2+5/6+11/12+19/20+29/30+41/42+55/56=(1-1/2)+(1-1/6)+(1-1/12)+(1-1/20)+(1-1/30)+(1-1/42)+(1-1/56)=(1+1+1+1+1+1+1)-(1/2+1/6+1/12+1/20+1/30+1/42+1/56)=7-[(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)]=7-(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)=7-(1-1/8)=6+1/8=49/8

1/2十5/6十11/12十19/20十29/30十41/42+55/ 56
=(6+10+11)/12+(57+58)/60+(164+165)/168
=27/12+115/60+329/168
=3+1/4+1+11/12+1+151/168
=5+7/6+151/168
=6+(126+151)168
=6+277/168
=7+109/168