Recall that the multiplication of fractions is as follows:
[tex]\frac{a}{b}\cdot\frac{c}{d}=\frac{ac}{bd}\text{.}[/tex]Also,
[tex]\frac{ab}{bc}=\frac{a}{c}\text{.}[/tex]Therefore:
[tex]\frac{5}{6}\cdot\frac{1}{5}=\frac{5\cdot1}{6\cdot5}=\frac{1}{6}\text{.}[/tex]Answer:
[tex]\frac{1}{6}\text{.}[/tex]