https://file.aiquickdraw.com/mathbot/file/1726470573490ktifbgzs.jpg

The rational expression provided in the image is:

\[
\frac{-3x + 12}{-3x}
\]

To simplify this expression, we can break it down into two terms:

\[
\frac{-3x + 12}{-3x} = \frac{-3x}{-3x} + \frac{12}{-3x}
\]

### Step 1: Simplify the first term
\[
\frac{-3x}{-3x} = 1
\]

### Step 2: Simplify the second term
\[
\frac{12}{-3x} = -\frac{4}{x}
\]

### Final expression:
\[
1 - \frac{4}{x}
\]

Thus, the simplified expression is:

\[
1 - \frac{4}{x}
\]

Let me know if you would like more details or have any further questions!

Here are 5 related questions to practice:
1. How would you simplify \(\frac{6x - 18}{3x}\)?
2. What happens if \(x = 0\) in the simplified expression?
3. Can you simplify \(\frac{2x - 8}{x}\)?
4. How would you factor the numerator in the original expression?
5. How does the expression change if you substitute a specific value for \(x\)?

**Tip**: When simplifying rational expressions, always check for factors common to both the numerator and denominator to reduce the expression efficiently.

Answer the rational expression: (-3x + 12) / -3x

Learn how to simplify the rational expression (-3x + 12) / -3x by breaking it down into two terms and simplifying step-by-step. Suitable for students in Grades 8-10. This problem covers key algebraic concepts and formulas.

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