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

Toán Lớp 7: Tính: $\frac{1}{2.3}$ + $\frac{1}{3.4}$ +…+ $\frac{1}{98.99}$ + $\frac{99}{100}$

Toán Lớp 7: Tính:
$\frac{1}{2.3}$ + $\frac{1}{3.4}$ +…+ $\frac{1}{98.99}$ + $\frac{99}{100}$

Comments ( 2 )

  1. 1/(2.3) + 1/(3.4) + …+ 1/(98.99) + 99/100
    = 1/2 – 1/3 + 1/3 – 1/4 +…+ 1/98 – 1/99 + 99/100
    = 1/2 -1/99 + 99/100
    = 97/198 + 99/100
    = 1,47989899
     

  2. $\frac{1}{2.3}$ +$\frac{1}{3.4}$ +…+$\frac{98}{99}$ $\frac{99}{100}$ 
    =$\frac{1}{2}$ -$\frac{1}{3}$ +$\frac{1}{3}$ -$\frac{1}{4}$ +…+$\frac{1}{98}$ -$\frac{1}{99}$ +$\frac{1}{99}$ -$\frac{1}{100}$ 
    = $\frac{1}{2}$ -$\frac{1}{100}$ 
    = $\frac{49}{100}$ 
    #CHÚC BẠN HỌC TỐT^^

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

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