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

Toán Lớp 7: 1/13 + 3/13.23 + 3/23.33 + – + 3/2303.2306

Toán Lớp 7: 1/13 + 3/13.23 + 3/23.33 + …. + 3/2303.2306

Comments ( 2 )

  1. 1/13 + 3/{13.23} + 3/{23.33} + … + 3/{2303.2306}
    = 3/39 + 3/{13.23} + 3/{23.33} + … + 3/{2303.2306}
    = 3/{3.13} + 3/{13.23} + 3/{23.33} + … + 3/{2303.2306}
    = 1 – 1/13 + 1/13 – 1/23 +…+ 1/2303 – 1/2306
    = 1 – 1/2306
    = 2305/2306
     

  2. 1/13 + 3/( 13 × 23 ) + 3/( 23 × 33 ) + … + 3/( 2303 × 2306 )
    = 3/39 + 3/( 13 × 23 ) + 3/( 23 × 33 ) + … + 3/( 2303 × 2306 )
    = 3/( 3 × 13 ) + 3/( 13 × 23 ) + … + 3/( 2303 × 2306 )
    = 1 – 1/13 + 1/13 – 1/23 + … + 1/2303 – 1/2306
    = 1 – 1/2306
    = 2305/2306
     @ Rin

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