[tex]\dfrac{1}{6}\div9.5=\dfrac{1}{6}\div\dfrac{95}{10}=\dfrac{1}{6}\div\dfrac{95:5}{10:2}=\dfrac{1}{6}\div\dfrac{19}{2}=\dfrac{1}{6}\cdot\dfrac{2}{19}\\\\=\dfrac{1}{3}\cdot\dfrac{1}{19}=\dfrac{1}{57}[/tex]