9/10 +1/90++1/72+1/56+1/42+1/30+1/20+1/12+1/6+1/2

9/10 +1/90++1/72+1/56+1/42+1/30+1/20+1/12+1/6+1/2

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  1. 9/10+1/90+1/72+1/56+1/42+1/30+1/20+1/12+1/6+1/2

    =(9/10+1/90+1/20+1/30)+(1/6+1/12+1/2)+(1/72+1/42+1/56)

    =179/180+3/4+1/18

    =(179/180+10/180)+3/4

    =21/20+3/4

    =21/20+15/20

    =36/20=9/5

     

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  2. *Hình dưới:

      $\frac{9}{10}+$ $\frac{1}{90}+…+$ $\frac{1}{2}$

    $=\frac{1}{2}+…+$ $\frac{1}{90}+$ $\frac{9}{10}$

    $=\frac{1}{1.2}+…+$$\frac{1}{9.10}+$ $\frac{9}{10}$

    $=1-\frac{1}{2}+…+$ $\frac{1}{9}-$ $\frac{1}{10}+$ $\frac{9}{10}$

    $=1-\frac{1}{10}+$ $\frac{9}{10}$

    $=\frac{9}{10}+$ $\frac{9}{10}$

    $=\frac{9}{5}$ 

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