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1+20分之13= 1-17分之9= 9分之5-2分之1= 1又12分之...

1+20分之13=1又20分之13 1-17分之9=17分之8 9分之5-2分之1=18分之1 1又12分之5+12分之7=2 9分之5-2分之1=18分之1 2-11分之9=1又11分之2 7分之3+9分之1= 63分之34 3分之1-5分之1=15分之2 5分之1+8分之1=40分之13

1又1/3-7/12+9/20-11/30+13/42 =1+1/3-(1/3+1/4)+(1/4+1/5)-(1/5+1/6)+(1/6+1/7) =1+1/3-1/3-1/4+1/4+1/5-1/5-1/6+1/6+1/7 =1+1/7 =1又1/7

1+ 1/2 - 5/6 + 7/12 - 9/20 + 11/30 - 13/42 + 15/56 = 1 + 1/2 - 3/6 - 2/6 + 4/12 + 3/12 - 5/20 - 4/20 + 6/30 + 5/30 - 7/42 - 6/42 + 8/56 + 7/56 = 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 = ...

1又2分之1-6分之5+12分之7-20分之9+30分之11 =1+1/2-(1/2+1/3)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6) =1+1/2-1/2-1/3+1/3+1/4-1/4-1/5+1/5+1/6 =1+1/6 =1又6分之1

1-6分之5+12分之7-20分之9+30分之11-42分之13+56分之15怎样简便计 1-6分之5+12分之7-20分之9+30分之11-42分之13+56分之15 =1-(1/2+1/3)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)+(1/7+1/8) =1-1/2-1/3+1/3+1/4-1/4-1/5+1/5-1/6+1/6-1/7+1/7+1/8...

原式 =1-2-3-4+5-6+7-8+9+1/2-5/6-1/12-9/20+1/30-1/42+1/56-71/72+1/90 =-1+1-1/2-1+1/2-1/3-1/3+1/4-1/2+1/4-1/5+1/5-1/6-1/6+1/7+1/7-1/8-1+1/8-1/9+1/9-1/10 =-2-2/3-1/2+1/2-1/3+2/7-1/10 =-3+2/7-1/10 =-3+(20-7)/70 =-3+13/70 =-2又57/70

1-5/6+7/12-9/20+11/30-13/42+15/56 =1-(1/2+1/3)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)+(1/7+1/8) =1-1/2+1/8 =5/8

(1+3+5+7+9+11+13+15+17)+(1/(2*3)+1/(3*4)+1/(4*5)+......+1/(9*10))

=(3又1/45-9又2/5)+(12又4/13+7又5/26)=-6又17/45+19又1/2 =13又11/90

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