To solve the equation \(\frac{w - 2}{10} = \frac{4}{5}\) for \(w\), follow these steps:

1. **Eliminate the fraction**: Multiply both sides of the equation by 10 to eliminate the denominator on the left side.
   \[
   10 \cdot \frac{w - 2}{10} = 10 \cdot \frac{4}{5}
   \]
   Simplifying both sides, you get:
   \[
   w - 2 = 2 \cdot 4
   \]
   \[
   w - 2 = 8
   \]

2. **Isolate \(w\)**: Add 2 to both sides of the equation to solve for \(w\).
   \[
   w - 2 + 2 = 8 + 2
   \]
   Simplifying, you get:
   \[
   w = 10
   \]

So, the solution is:
\[
w = 10
\]

Would you like more details or have any questions?

Here are some related questions you might find useful:

1. How do you solve equations involving fractions?
2. What steps should you take to isolate a variable in an equation?
3. How can you check your solution to an equation?
4. What are some common mistakes to avoid when solving equations with fractions?
5. How do you solve \(\frac{w + 3}{7} = \frac{5}{2}\) for \(w\)?
6. What is the process for solving equations involving multiple fractions?
7. Can you explain the importance of keeping equations balanced?
8. How do you convert fractions to decimals for easier calculation?

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

Learn how to solve the equation w-2 / 10 = 4/5 step-by-step with detailed explanations. This problem involves solving equations with fractions, suitable for students in Grades 6-8.

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