We can rewrite $6\frac{1}{4}$ as an improper fraction: $$6\frac{1}{4}=\frac{6\cdot4+1}{4}=\frac{25}{4}.$$ Taking the square root of $\frac{25}{4}$ gives us $\sqrt{\frac{25}{4}}$. Simplifying the square root, we have  $$\sqrt{\frac{25}{4}}=\frac{\sqrt{25}}{\sqrt{4}}=\frac{5}{2}.$$ So, $\sqrt{6\frac{1}{4}}=\boxed{\frac{5}{2}}$.
The answer is: \frac{5}{2}
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
Simplify the expression $\sqrt{6\frac{1}{4}}$ and express it as a simplified common fraction.

### Answer:
