Evaluate. Write your answer as a fraction in simplest form. \[ \left(\frac{5}{2}\right)^{2} \]

Step 1 ：The question is asking us to square the fraction \(\frac{5}{2}\). Squaring a number means multiplying it by itself. So, we need to multiply \(\frac{5}{2}\) by \(\frac{5}{2}\).

Step 2 ：The result of squaring the fraction \(\frac{5}{2}\) is 6.25. However, the question asks for the answer in the form of a fraction. Therefore, we need to convert the decimal 6.25 into a fraction.

Step 3 ：The result of converting the decimal 6.25 into a fraction is \(\frac{25}{4}\).

Step 4 ：Final Answer: The result of squaring the fraction \(\frac{5}{2}\) is \(\boxed{\frac{25}{4}}\).