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The image shows a math problem asking to solve the equation \( \frac{x}{8} = \frac{1}{2} \cdot 2 \). It indicates that the solution for \( x \) is \( 8 \).

Let's break down the steps to solve this equation:

1. **Interpret the Equation**:
   \[
   \frac{x}{8} = \frac{1}{2} \times 2
   \]

2. **Simplify the Right Side**:
   Simplify the expression on the right-hand side:
   \[
   \frac{1}{2} \times 2 = 1
   \]
   So the equation becomes:
   \[
   \frac{x}{8} = 1
   \]

3. **Solve for \( x \)**:
   To solve for \( x \), multiply both sides by 8:
   \[
   x = 8 \times 1 = 8
   \]

Therefore, the solution is \( x = 8 \), which matches the provided solution.

Would you like more details on any of these steps, or do you have any questions? 

Here are five related questions you might find useful to consider:

1. How would you solve the equation if the right-hand side was a different number, say \( \frac{1}{3} \times 2 \)?
2. What if the equation was \( \frac{x}{8} = \frac{1}{4} \times 3 \)?
3. How does multiplying fractions affect the overall equation?
4. What steps would you follow if the equation was \( \frac{x}{8} = 3 \)?
5. How does dividing both sides of an equation work in general?

**Tip:** Always check your solution by substituting it back into the original equation to ensure it satisfies the equation.

Solve the equation: x / 8 = (1/2) * 2. The solution is x = 8.

Learn how to solve the equation x / 8 = (1/2) * 2 with a step-by-step breakdown. This problem involves key algebraic concepts, including solving simple equations and multiplying fractions. Suitable for students in Grades 6-8.

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