B= 1/3 + 5/6 + 11/12 + 19/20 + 29/30 (tính nhanh)

B= 1/3 + 5/6 + 11/12 + 19/20 + 29/30 (tính nhanh)

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  1. Ta có :

    $\dfrac{1}{3}+\dfrac{5}{6}+\dfrac{11}{12}+\dfrac{19}{20}+\dfrac{29}{30}$

    $ = \dfrac{7}{6} + \dfrac{11}{12}+\dfrac{19}{20}+\dfrac{29}{30}$

    $ = 1 + \dfrac{1}{6}+\dfrac{11}{12}+\dfrac{19}{20}+\dfrac{29}{30}$

    $ = 1 + (\dfrac{11}{12}+\dfrac{1}{12})+(\dfrac{19}{20}+\dfrac{1}{20})+(\dfrac{29}{30}+\dfrac{1}{30})$

    ( Giải thích : Vì : $\dfrac{1}{6} = \dfrac{1}{12}+\dfrac{1}{20}+\dfrac{1}{30} $ )

    $ = 1+1+1+1=4$

    Vậy $\dfrac{1}{3}+\dfrac{5}{6}+\dfrac{11}{12}+\dfrac{19}{20}+\dfrac{29}{30} = 4$

     

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