Answer:
-1
Step-by-step explanation:
The given expression is:
[tex]-\frac{2}{3}\div \frac{4}{6}[/tex]
We multiply by the reciprocal to get:
[tex]-\frac{2}{3}\times \frac{6}{4}[/tex]
We factor so that we can cancel easily:
[tex]-\frac{2}{3}\times \frac{3\times 2}{2\times 2}[/tex]
Cancel the common factors to get:
[tex]-\frac{1}1}\times \frac{1\times 2}{1\times 2}[/tex]
This simplifies to:
[tex]-1[/tex]
