Find the product :

$\dfrac{12}{35} \times \dfrac{14}{27}$

$\Rightarrow \dfrac{12}{35} \times \dfrac{14}{27}\\[1em] \Rightarrow \dfrac{12}{27} \times \dfrac{14}{35} \\[1em] \Rightarrow \dfrac{4}{9} \times \dfrac{2}{5} \\[1em] \Rightarrow \dfrac{8}{45}.$

Hence, $\dfrac{12}{35} \times \dfrac{14}{27} = \dfrac{8}{45}$.