Respuesta :
let's firstly convert the mixed fractions to improper fractions and then divide.
[tex]\stackrel{mixed}{5\frac{5}{6}}\implies \cfrac{5\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{35}{6}} ~\hfill \stackrel{mixed}{3\frac{1}{6}}\implies \cfrac{3\cdot 6+1}{6}\implies \stackrel{improper}{\cfrac{19}{6}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{35}{6}\div \cfrac{19}{6}\implies \cfrac{35}{6}\cdot \cfrac{6}{19}\implies \cfrac{35}{19}\cdot \cfrac{6}{6}\implies \cfrac{35}{19}\cdot 1\implies 1\frac{16}{19}[/tex]
