Respuesta :

gmany

[tex]\dfrac{2}{3}:\dfrac{8}{9}=\left(9\cdot\dfrac{2}{3}\right):\left(9\cdot\dfrac{8}{9}\right)=(3\cdot2):(1\cdot8)\\\\=6:8=\dfrac{6}{2}:\dfrac{8}{2}=3:4\\\\Answer:\ \boxed{\dfrac{2}{3}:\dfrac{8}{9}=3:4}[/tex]