题目内容
6.已知$\frac{m+an}{m+bn}$=$\frac{b}{a}$(a≠b),则m=-n(a+b).分析 先去分母,再移项、合并,系数化为1即可求得m即可.
解答 解:去分母,得a(m+an)=b(m+bn),
移项、合并,得(a-b)m=b2n-a2n,
系数化为1,得m=-n(a+b),
故答案为-n(a+b).
点评 本题考查了分式的混合运算,掌握运算步骤是解题的关键.
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