Mathematical equation illustrating the addition of five 1/2 fractions resulting in 2 1/2.

The image shows a mathematical expression and its solution:

$$
\frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2} = \frac{1 \times 5}{2} = \frac{5}{2} = 2\frac{1}{2}
$$

Let’s break this down step by step to understand the solution.

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Step 1: Understanding the Problem

We are adding five fractions, each equal to $ \frac{1}{2} $:

$$
\frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2}
$$

This is the same as multiplying $ \frac{1}{2} $ by 5:

$$
5 \times \frac{1}{2}
$$

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Step 2: Multiply the Fraction

When you multiply a whole number by a fraction, you can write the whole number as a numerator over 1:

$$
5 \times \frac{1}{2} = \frac{5}{1} \times \frac{1}{2} = \frac{5 \times 1}{1 \times 2} = \frac{5}{2}
$$

So,

$$
\frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2} = \frac{5}{2}
$$

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Step 3: Convert Improper Fraction to Mixed Number

Now, convert $ \frac{5}{2} $ into a mixed number.

- Divide 5 by 2:
$ 5 \div 2 = 2 $ with a remainder of 1.
- So, $ \frac{5}{2} = 2 \frac{1}{2} $

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✔ Final Answer:

$$
\frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2} + \frac{1}{2} = \frac{5}{2} = 2\frac{1}{2}
$$

This matches exactly what is shown in the image.

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🌟 Summary:

- Adding five halves gives $ \frac{5}{2} $.
- $ \frac{5}{2} $ is equivalent to $ 2\frac{1}{2} $.
- The solution is correct and well-explained.

✔ Answer: $ \boxed{2\frac{1}{2}} $