$5=\dfrac{15}{3}$，$\dfrac{15}{3}\gt \dfrac{14}{3}$
$\dfrac{9}{2}=4\dfrac{1}{2}$
$2\dfrac{4}{5}=\dfrac{14}{5}$，$\dfrac{13}{5}\lt \dfrac{14}{5}$
$\dfrac{1}{3}=0.\dot{3}$，$0.\dot{3}\gt 0.33$
$\dfrac{1}{10}=0.1$，$0.1\gt 0.09$
$\dfrac{13}{6}=2.1\dot{6}$，$2.1\lt 2.1\dot{6}$
$故答案为：\gt ，=，\lt ，\gt ，\gt ，\lt $
