已知a/b=c/d=e/f=2/3(b+d+f≠0),求(a+c+e)/(b+d+f)的值.

Question

已知a/b=c/d=e/f=2/3(b+d+f≠0),求(a+c+e)/(b+d+f)的值.

Answer 1

解由a/b=c/d=e/f=2/3
知a=2b/3,c=2d/3,e=2f/3
故(a+c+e)/(b+d+f)
=(2b/3+2d/3+2f/3)/(b+d+f)
=2/3(b+d+f)/(b+d+f)
=2/3.