fractions

how to multiply mixed numbers 5 5/8 x 8 5/6

$\begin{array}{|rcll|} \hline && 5 \ \frac{5}{8} \times 8 \ \frac{5}{6} \\ &=& \frac{5\cdot 8+5}{8} \times \frac{8\cdot 6 + 5}{6} \\ &=& \frac{40+5}{8} \times \frac{48 + 5}{6} \\ &=& \frac{45}{8} \times \frac{53}{6} \\ &=& \frac{45\cdot 53}{8\cdot 6} \\ &=& \frac{2385}{48} \\ &=& 49\ \frac{33}{48} \\ \hline \end{array}$