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

Toán Lớp 7: a/b=c/d CM:1)2003a-2004b/2003c-2004d=2003a+2004b/2003+2004d

Toán Lớp 7: a/b=c/d CM:1)2003a-2004b/2003c-2004d=2003a+2004b/2003+2004d

Comments ( 1 )

  1. $\\$
    Giải đáp + giải thích các bước giải :
    Đặt $\dfrac{a}{b}=\dfrac{c}{d}=k(k\ne 0)$
    $⇒a=bk,c=dk$
    $\dfrac{2003a-2004b}{2003c-2004d}\\=\dfrac{2003bk – 2004b}{2003dk-2004d}\\=\dfrac{b(2003k-2004)}{d(2003k – 2004)}\\=\dfrac{b}{d}(1)\\\dfrac{2003a+2004b}{2003c+2004d}\\=\dfrac{2003bk+2004b}{2003dk+2004d}\\=\dfrac{b(2003k + 2004)}{d(2003k+2004)}\\=\dfrac{b}{d}(2)$
    Từ $(1)(2)$
    $⇒\dfrac{2003a-2004b}{2003c-2004d}=\dfrac{2003a+2004b}{2003c+2004d}$

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