[tex]\begin{gathered} 9\colon6,\text{ we know that } \\ 9=3\cdot3 \\ 6=3\cdot2 \\ \text{ Thus, we can simplify by dividing by the common terms} \\ \frac{9}{3}\colon\frac{6}{3} \\ 3\colon2 \\ \\ \text{And the ratio in it lowest form is 3:2} \end{gathered}[/tex]