Answer
$-\frac{1}{10}$
Work Step by Step
$(\frac{3}{5})(-\frac{1}{6})=\frac{3}{5}\times-\frac{1}{6}=-\frac{3\times1}{5\times6}=-\frac{3}{30}=-\frac{1}{10}$
The signs of both numbers are the different, so the resulting product will be negative.