Answer :
To find the product of fractional multiplication you multiply as follow:
[tex]\frac{a}{b}\cdot\frac{c}{d}=\frac{ac}{bd}[/tex]In this case:
[tex]\frac{2}{12}\cdot\frac{4}{9}=\frac{2\cdot4}{12\cdot9}=\frac{8}{108}[/tex]Then we simplify:
[tex]\frac{8}{108}=\frac{4}{54}=\frac{2}{27}[/tex]So the final product is: 2/27