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

Toán Lớp 5: 2/5×7+2/7×9+2/9×11+2/11×13+2/13×15=? Giúp mình với!

Toán Lớp 5: 2/5×7+2/7×9+2/9×11+2/11×13+2/13×15=?
Giúp mình với!

Comments ( 2 )

  1. Giải đáp:
    A = 2/15
    Lời giải và giải thích chi tiết:
    A =  2/(5 . 7 ) + 2/( 7 . 9 ) + 2/( 9 . 11 ) + 2 / ( 11 . 13 ) + 2 / ( 13 . 15 )
    A = ( 7 – 5 )/( 5 . 7 ) + ( 9 – 7 )/( 7 . 9 ) + ( 11 – 9 )/( 9 . 11 ) + ( 13 – 11 )/( 11 . 13 ) + ( 15 – 13 )/( 13 . 15 )
    A = 1/5 – 1/7 + 1/7 – 1/9 + 1/9 – 1/11 + 1/11 – 1/13 + 1/13 – 1/15
    A = 1/5 – 1/15
    A = 3/15 – 1/15 = 2/15
    Vậy A =  2/15

  2. 2/( 5 xx 7) + 2/( 7 xx 9) + 2/( 9 xx 11) + 2/( 11 xx 13) + 2/( 13 xx 15)
    = ( 1/5 – 1/7) + ( 1/7 – 1/9) + ( 1/9 – 1/11) + ( 1/11 – 1/13) + ( 1/13 – 1/15)
    = 1/5 – 1/7 + 1/7 – 1/9 + 1/9 – 1/11 + 1/11 – 1/13 + 1/13 – 1/15
    = 1/5 – ( 1/7 – 1/7) – ( 1/9 – 1/9) – (1/11 – 1/11) – ( 1/13 – 1/13) – 1/15
    = 1/5 – 0 – 0 – 0 -0 – 1/15
    = 1/5 – 1/15
    = 3/15 – 1/15
    = 2/15
    #caty09
     

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