Evaluate and simplify the expression \(\frac{8}{{15}} - \frac{3}{5}\).


The LCD is 15.

\[\begin{align}
 \frac{8}{{15}} - \frac{{3\left( {\color{red}3} \right)}}{{5\left( {\color{red}3} \right)}} &= \frac{8}{{15}} - \frac{9}{{15}} \\
  &= \frac{{8 - 9}}{{15}} \\
  &= -\frac{1}{{15}} \\
 \end{align}\]