Mathematically, the question can be written as:
[tex]5\frac{5}{6}\text{ / 3}\frac{1}{6}[/tex]Convert each of the mixed fractions to improper fractions:
[tex]5\frac{5}{6}=\frac{35}{6}[/tex][tex]3\frac{1}{6}=\frac{19}{6}[/tex]The given expression then becomes:
[tex]\begin{gathered} \frac{35}{6}\text{ / }\frac{19}{6} \\ \text{Which becomes:} \\ \frac{35}{6}\times\frac{6}{19} \end{gathered}[/tex]The 6 in the denominator cancels the 6 in the numerator. The expression then becomes:
[tex]\begin{gathered} \frac{35}{19} \\ \text{Converting this back to a mixed fraction, it becomes:} \\ 1\frac{16}{19} \end{gathered}[/tex]