To solve the equation:

\[
\frac{K}{40} = 5
\]

### Step-by-step solution:
1. Multiply both sides of the equation by 40 to isolate \( K \):
   \[
   K = 5 \times 40
   \]

2. Simplifying the multiplication:
   \[
   K = 200
   \]

Thus, the solution is \( K = 200 \).

Do you want more details or have any questions?

Here are 5 related questions:
1. What if \( \frac{K}{50} = 5 \)? What would \( K \) be?
2. Solve \( \frac{K}{40} = 10 \).
3. If \( K = 200 \), what is \( \frac{K}{80} \)?
4. How would the answer change if the equation was \( \frac{K}{40} = 7 \)?
5. What if the equation was \( \frac{K}{40} = -5 \)?

**Tip:** Multiplying both sides of an equation by the same number is a common method to isolate variables in fractions.

Learn how to solve the linear equation K/40 = 5 with a detailed step-by-step solution. This problem demonstrates key algebraic concepts such as isolating the variable and multiplication in linear equations. Suitable for students in Grades 6-8.

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