Let's solve the expression \( \frac{5}{2} \div 5 \) step by step and show the detailed solution.

### Step 1: Understand the Expression
The expression given is \( \frac{5}{2} \div 5 \). This can be interpreted as dividing the fraction \( \frac{5}{2} \) by 5.

### Step 2: Write the Expression in Fraction Form
We can rewrite the division of a fraction by a number as a multiplication by the reciprocal of that number. So:
\[
\frac{5}{2} \div 5 = \frac{5}{2} \times \frac{1}{5}
\]

### Step 3: Multiply the Fractions
When multiplying fractions, multiply the numerators (top numbers) together and the denominators (bottom numbers) together:
\[
\frac{5 \times 1}{2 \times 5} = \frac{5}{10}
\]

### Step 4: Simplify the Fraction
The fraction \( \frac{5}{10} \) can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 5:
\[
\frac{5 \div 5}{10 \div 5} = \frac{1}{2}
\]

### Final Answer
So, the value of \( \frac{5}{2} \div 5 \) is **\( \frac{1}{2} \)** or **0.5**.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:
1. How do you multiply two fractions together?
2. What is the result of \( \frac{3}{4} \div 2 \)?
3. How can you express the fraction \( \frac{1}{2} \) as a decimal?
4. What happens if you divide \( \frac{5}{2} \) by \( \frac{1}{5} \) instead?
5. How do you simplify a fraction step by step?

**Tip:** When dividing by a number, it's often easier to multiply by the reciprocal, especially when dealing with fractions.

Learn how to solve the expression \( \frac{5}{2} \div 5 \) step by step with a detailed solution. This problem covers fractions, division, and multiplication of fractions. Suitable for students in Grades 6-8.

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