The given expression is:

$\frac{\sqrt{4x^2}}{3y}$

Simplification:

1. The square root of $4x^2$ is $2x$, since: $\sqrt{4x^2} = 2x$

2. Therefore, the expression becomes: $\frac{2x}{3y}$

So, the simplified expression is: $\frac{2x}{3y}$

Would you like more details or have any questions about this simplification?

Here are 5 related questions:

1. How would the expression change if the numerator was $\sqrt{9x^2}$ instead of $\sqrt{4x^2}$?
2. Can you simplify $\frac{\sqrt{25x^4}}{5y}$?
3. What happens if we add another term, such as $+ \frac{6x}{3y}$?
4. How does simplifying an expression change when the square root involves multiple variables?
5. Could you factor an expression like $\frac{\sqrt{16x^2}}{4y}$?

Tip: Always simplify the square root first when dealing with expressions involving radicals, as it reduces complexity early in the process.