Answer
$\frac{1}{10}$
Work Step by Step
Multiply numerators, multiply denominators, then reduce the fraction if necessary:
$\frac{2}{3}\cdot\frac{1}{4}\cdot\frac{3}{5}$
$=\frac{2\cdot 1\cdot 3}{3\cdot 4\cdot 5}$
$=\frac{6}{60}$
Now reduce.
$\frac{6}{60}=\frac{1}{10}$