Answer:[tex]\frac{4}{9}\div 2=\frac{2}{9}[/tex]Step-by-step explanation:We want to simplify;[tex]\frac{4}{9}\div 2[/tex]We can rewrite to get;[tex]\frac{4}{9}\div \frac{2}{1}[/tex]We multiply the first fraction by the multiplicative inverse of the second fraction to get;[tex]\frac{4}{9}\times \frac{1}{2}[/tex]This gives us;[tex]\frac{4\times1}{9\times2}[/tex]Simplify to get;[tex]\frac{2\times1}{9\times1}[/tex]Multiply;[tex]=\frac{2}{9}[/tex]