Multiply

$\dfrac{5}{6}$ and $\dfrac{8}{9}$

$\dfrac{5}{6} \times \dfrac{8}{9}\\[1em] =\dfrac{5 \times 8}{6 \times 9}\\[1em] =\dfrac{40}{54}\\[1em] =\dfrac{20}{27}$

Hence, $\dfrac{5}{6} \times \dfrac{8}{9} = \dfrac{20}{27}$