Let's solve the expression step by step. The given expression is:

$2 - 5 + 24 - \frac{5}{2}$

Step-by-step solution:

1. First, divide $\frac{5}{2}$: $\frac{5}{2} = 2.5$

2. Now, rewrite the expression: $2 - 5 + 24 - 2.5$

3. Perform the addition and subtraction from left to right: $2 - 5 = -3$ $-3 + 24 = 21$ $21 - 2.5 = 18.5$

Final answer:

$18.5$

Would you like more details on any part of the process? Here are five related questions you can explore:

1. How do you handle expressions with both fractions and integers?
2. What is the order of operations (PEMDAS) and how does it apply here?
3. How do you simplify more complex algebraic expressions?
4. How do you solve expressions that include exponents and roots?
5. What is the difference between absolute value and regular subtraction in equations?

Tip: When working with expressions, always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).