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The expression given is:

\[
\frac{3at - 12a^2 t}{3at}
\]

To simplify this expression, follow these steps:

1. **Factor the numerator**: In the numerator, both terms \(3at\) and \(12a^2t\) have a common factor of \(3at\). Factor this out:
   
   \[
   \frac{3at(1 - 4a)}{3at}
   \]

2. **Cancel the common factor**: Since \(3at\) is both in the numerator and the denominator, you can cancel out the \(3at\), leaving:
   
   \[
   1 - 4a
   \]

Thus, the simplified expression is \(1 - 4a\), which corresponds to the first option.

Would you like more details or have any other questions? Here are five related questions:

1. How do you simplify expressions with common factors?
2. What are the properties of rational expressions?
3. How do you factor polynomials?
4. How do you identify common factors in algebraic expressions?
5. What steps are involved in dividing polynomials?

**Tip:** Always look for common factors when simplifying expressions. This can save time and make the simplification easier.

Simplify the expression \frac{3at - 12a^2 t}{3at}.

Learn how to simplify the algebraic expression \frac{3at - 12a^2 t}{3at}. This example demonstrates factoring and cancellation of common terms, making it suitable for students in Grades 7-10.

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