5 1/3 divided by 1 7/9

the answer should be 3.

What is 5 and 1/3 divided by 1 and 7/9

$\begin{array}{|rcll|} \hline && \dfrac{5 + \frac13 } { 1 + \frac79 } \\\\ &=& \dfrac{ \frac{3\cdot5 + 1}{3} } { \frac{9\cdot 1 + 7}{9} } \\\\ &=& \dfrac{ \frac{16}{3} } { \frac{16}{9} } \\\\ &=& \frac{16}{3} \cdot \frac{9}{16} \\\\ &=& \frac{9}{3} \\\\ &=& 3 \\ \hline \end{array}$