The given expression is:

\[
\frac{3x^2}{18x^2}
\]

We can simplify it step by step:

1. The \(x^2\) terms in both the numerator and denominator cancel out:

\[
\frac{3x^2}{18x^2} = \frac{3}{18}
\]

2. Now, simplify the fraction \(\frac{3}{18}\) by dividing both the numerator and denominator by their greatest common divisor, which is 3:

\[
\frac{3}{18} = \frac{1}{6}
\]

Thus, the simplified expression is:

\[
\frac{1}{6}
\]

Would you like further explanation or details on any step?

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Here are 5 related questions:
1. How do you simplify rational expressions with variables in both the numerator and denominator?
2. What are the steps to factor and cancel common terms in fractions?
3. How do you find the greatest common divisor of two numbers?
4. What happens when the powers of the variable in the numerator and denominator differ?
5. How do you handle expressions with multiple variables in the fraction?

**Tip**: Always look for common factors to simplify expressions before performing any other operations!

Learn how to simplify the rational expression 3x^2/18x^2 in this step-by-step guide. Explore algebraic concepts such as canceling variables, simplifying fractions, and finding the greatest common divisor. This solution is ideal for students in Grades 6-8 looking to strengthen their algebra skills.

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