We can rewrite $\sqrt[3]{4\div 13.5}$ as $\sqrt[3]{\frac{4}{13.5}}$.
To simplify this expression, we can rewrite $13.5$ as $\frac{27}{2}$.
So, $\sqrt[3]{\frac{4}{13.5}} = \sqrt[3]{\frac{4}{\frac{27}{2}}} = \sqrt[3]{\frac{8}{27}}$.
Taking the cube root of both the numerator and denominator, we get $\frac{2}{3}$.
Therefore, $\sqrt[3]{4\div 13.5} = \boxed{\frac{2}{3}}$. The answer is: \frac{2}{3}
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
Write the following expression as a common fraction: $\sqrt[3]{4\div 13.5}$.

### Answer:
