Find the product :

$7\dfrac{7}{11} \times 6\dfrac{3}{16}$

$\Rightarrow 7\dfrac{7}{11} \times 6\dfrac{3}{16}\\[1em] \Rightarrow \dfrac{84}{11} \times \dfrac{99}{16}\\[1em] \Rightarrow \dfrac{84}{16} \times \dfrac{99}{11} \\[1em] \Rightarrow \dfrac{21}{4} \times 9 \\[1em] \Rightarrow \dfrac{189}{4} \\[1em] \Rightarrow 47\dfrac{1}{4}.$

Hence, $7\dfrac{7}{11} \times 6\dfrac{3}{16} = 47\dfrac{1}{4}$.