Determine the simplified form of the given expression: $\frac{\sqrt{4}}{2 \sqrt{20}}$

Step 1 ：Determine the simplified form of the given expression: \(\frac{\sqrt{4}}{2 \sqrt{20}}\)

Step 2 ：Simplify the square roots: \(\sqrt{4} = 2\) and \(\sqrt{20} = 2 \sqrt{5}\)

Step 3 ：Substitute the simplified square roots into the expression: \(\frac{2}{2 \times 2 \sqrt{5}}\)

Step 4 ：Simplify the expression to get the final answer: \(\boxed{\frac{1}{2\sqrt{5}}}\)