Answer:
see below for the working
Step-by-step explanation:
Dividing by a number is the same as multiplying by the inverse of that number.
[tex]\displaystyle\frac{\left(\frac{1}{4}\right)}{\left(-\frac{2}{3}\right)}=-\frac{1}{4}\cdot\frac{3}{2}=-\frac{3}{4\cdot 2}=-\frac{3}{8}[/tex]