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The problem shown asks to simplify the expression:

\[
\frac{12abc}{18bc}
\]

### Step-by-step simplification:
1. **Factor out common terms**:  
   The numerator is \(12abc\) and the denominator is \(18bc\). Both terms have a common factor of \(bc\).
   
   \[
   \frac{12abc}{18bc} = \frac{12a \cdot bc}{18 \cdot bc}
   \]

2. **Cancel the common factors**:  
   Since \(bc\) appears in both the numerator and the denominator, it cancels out:

   \[
   \frac{12a}{18}
   \]

3. **Simplify the remaining fraction**:  
   Now simplify the fraction \( \frac{12a}{18} \). The greatest common divisor (GCD) of 12 and 18 is 6, so:

   \[
   \frac{12a}{18} = \frac{12 \div 6}{18 \div 6} = \frac{2a}{3}
   \]

Thus, the simplified expression is:

\[
\frac{2a}{3}
\]

Would you like any further explanation or details? Here are five related questions to expand on this concept:

1. How do you find the greatest common divisor (GCD) of two numbers?
2. What is the process for canceling common terms in fractions?
3. How do you factor polynomials involving multiple variables?
4. Can you simplify expressions where the numerator or denominator is a sum rather than a product?
5. How would you handle simplifying a more complex fraction with exponents?

**Tip**: Always look for common factors in both the numerator and denominator to simplify expressions quickly.

Simplify the expression: (12abc) / (18bc)

This guide explains how to simplify the algebraic expression (12abc) / (18bc) by canceling out common terms and finding the greatest common divisor. Ideal for students in grades 6-8.

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