用简便方法计算4/3-7/12+9/20-11/30+13/42-15/56+17/72-19/9

用简便方法计算4/3-7/12+9/20-11/30+13/42-15/56+17/72-19/90

解;4/3-7/12+9/20-11/30+13/42-15/56+17/72-19/90
=4/3-(3+4)/(3*4)+(4+5)/(4*5)
-(5+6)/(5*6)+(6+7)/(6*7)
-(7+8)/(7*8)+(8+9)/(8*9)
-(9+10)/(9*10)
=4/3-(1/3+1/4)+(1/4+1/5)-(1/5+1/6)
+(1/6+1/7)-(1/7+1/8)+(1/8+1/9)
-(1/9+1/10)
=4/3-1/3-1/4+1/4+1/5-1/5-1/6+1/6+1/7-1/7
-1/8+1/8+1/8-1/9-1/10
=1-1/10
=9/10
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4\/3-7\/12+9\/20-11\/30+13\/42-15\/56+17\/72-19\/90=
4\/3-7\/12+9\/20-11\/30+13\/42-15\/56+17\/72-19\/90 =1+1\/3-1\/3-1\/4+1\/4+1\/5-1\/5-1\/6+1\/6+1\/7-1\/7-1\/8+1\/8+1\/9-1\/9-1\/10 =1-1\/10 =9\/10 请好评 ~在右上角点击【评价】,然后就可以选择【满意,问题已经完美解决】了。如果你认可我的回答,敬请及时采纳,~...

4\/3-7\/12+9\/20-11\/30+13\/42-15\/56=(用简便方法)
您好:4\/3-7\/12+9\/20-11\/30+13\/42-15\/56 =(1+1\/3)-(1\/3+1\/4)+(1\/4-1\/5)-(1\/5+1\/6)+(1\/6+1\/7)-(1\/7+1\/8)=1-1\/8 =7\/8 如果本题有什么不明白可以追问,如果满意请点击“选为满意答案”如果有其他问题请采纳本题后另发点击向我求助,答题不易,请谅解,...

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

4\/3+7\/12-9\/20+11\/30-13\/42+15\/56简便运算
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4\/3-7\/12+9\/20-11\/30+13\/42-15\/56 请写详细步骤
4\/3-7\/12+9\/20-11\/30+13\/42-15\/56 =4\/3-(1\/3+1\/4)+(1\/4+1\/5)-(1\/5+1\/6)+(1\/6+1\/7)-(1\/7+1\/8)=4\/3-1\/3-1\/4+1\/4+1\/5-1\/5-1\/6+1\/6+1\/7-1\/7-1\/8 =4\/3-1\/3-1\/8 =7\/8.

4\/3-7\/12+9\/20-11\/30+13\/42-15\/56要过程
4\/3-7\/12+9\/20-11\/30+13\/42-15\/56 =(1+1\/3)-(1\/3+1\/4)+(1\/4+1\/5)-(1\/5+1\/6)+(1\/6+1\/7)-(1\/7+1\/8)=1+1\/3-1\/3-1\/4+1\/4...-1\/7-1\/8 =1-1\/8 =7\/8 请好评 ~在我回答的右上角点击【采纳答案】,如果你认可我的回答,敬请及时采纳,~你的采纳是我...

3分之4减12分之7加20分之9减30分之11加42分之13减56分之15简便方法?
就是3分之4-3分之1-4分之1+4分之1+5分之1-5分之1-6分之1+6分之1+7分之1-7分之1-8分之1 =1-8分之1 =8分之7 注意:这道题用分数的裂项求和的方法。

3分之4减12分之7加20分之9减30分之11加42分之13减56分之15简便方法?
4\/3-7\/12+9\/20-11\/30+13\/42-15\/56 =16\/12-7\/12+9\/20-11\/30+13\/42-15\/56 =3\/4+9\/20-11\/30+13\/42-15\/56 =15\/20+9\/20-11\/30+13\/42-15\/56 =6\/5-11\/30+13\/42-15\/56 =36\/30-11\/30+13\/42-15\/56 =5\/6+13\/42-15\/56 =35\/42+13\/42-15\/56 =8\/7-15\/56 ...

...减三十分之十一加四十二分之十三减五十六分之十五是多少(简便)_百度...
=4\/3-7\/12+9\/20-11\/30+13\/42-15\/56 =1+1\/3-(1\/3+1\/4)+(1\/4+1\/5)-(1\/5+1\/6)+(1\/8+1\/7)-(1\/7+1\/8)=1+1\/3-1\/3-1\/4+1\/4+1\/5-1\/5-1\/6+1\/6+1\/7-1\/7-1\/8 =1-1\/8 =7\/8

4\/3-7\/12+9\/20-11\/30+13\/42-15\/56
计算器 4\/3-7\/12+9\/20-11\/30+13\/42-15\/56 = 0.875

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