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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 7: a = 1/2.5 + 1/5.8 + -.+ 1/98.101

Toán Lớp 7: a = 1/2.5 + 1/5.8 + …..+ 1/98.101

Comments ( 2 )

  1. Giải đáp:
    $A=\dfrac{33}{202}$.
    Lời giải và giải thích chi tiết:
    $A=\dfrac1{2.5}+\dfrac1{5.8}\ +\,.\!.\!.+\ \dfrac1{98.101}\\\Rightarrow3A=\dfrac3{2.5}+\dfrac3{5.8}\ +\,.\!.\!.+\ \dfrac3{98.101}\\\Rightarrow 3A=\dfrac12-\dfrac15+\dfrac15-\dfrac18\ +\,.\!.\!.+\ \dfrac1{98}-\dfrac1{101}\\\Rightarrow 3A=\dfrac12-\dfrac1{101}\\\Rightarrow 3A=\dfrac{99}{202}\\\Rightarrow A=\dfrac{33}{202}$
    Vậy $A=\dfrac{33}{202}$.

  2. A=1/(2.5) + 1/(5.8)+..+1/(98.101)
    3A=3/(2.5) + 3/(5.8)+…+3/(98.101)
    3A=1/2 – 1/5+ 1/5 – 1/8 +..+1/98 – 1/101
    3A=1/2 – 1/101
    3A=101/202 – 2/202
    3A=99/202
    A=99/202 : 3
    A=33/202

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222-9+11+12:2*14+14 = ? ( )