First, we need to convert the mix fraction to a proper fraction
[tex]-1 \frac{2}{3} = \frac{-3 + 2}{3} = -\frac{1}{3}[/tex]
Now, 1/4 < 1/3 but
-1/4 > -1/3, then, the relation is
[tex]- \frac{1}{4} < -1\frac{2}{3}[/tex]
