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

Toán Lớp 7: 1/13+3/13.23+3/23.33+-+3/1993.2003

Toán Lớp 7: 1/13+3/13.23+3/23.33+….+3/1993.2003

Comments ( 2 )

  1. 1/13 + 3/13.23 + 3/23.33 + …. + 3/1993.2003
    =3/3.13 + 3/13.23 + 3/23.33 + …. + 3/1993.2003
    =3/10(\frac{10}{3.13}+\frac{10}{13.23}+\frac{10}{23.33}+…..+\frac{10}{1993.2003})
    =3/10(1/3 – 1/13 + 1/13 – 1/23 + 1/23 – 1/33 + ….. + 1/1993 – 1/2003)
    =3/10(1/3 – 1/2003)
    =3/10 . 2000/6009
    =200/2003
     

  2. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    1/13 + 3/13.23 + 3/23.33 +……+ 3/1993.2003
    = 3/10 . ( 1 – 1/13 + 1/13 – 1/23 + 1/23 – 1/33+…….+ 1/1993- 1/2003 )
    = 3/10 . ( 1 – 1/2003 )
    = 3/10 . 2002/2003
    = 3003/10015

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