To multiply the mixed numbers \( 2 \frac{1}{6} \) and \( 1 \frac{1}{2} \), follow these steps:

### Step 1: Convert Mixed Numbers to Improper Fractions
- \( 2 \frac{1}{6} = \frac{13}{6} \)
- \( 1 \frac{1}{2} = \frac{3}{2} \)

### Step 2: Multiply the Improper Fractions
\[ \frac{13}{6} \times \frac{3}{2} = \frac{13 \times 3}{6 \times 2} = \frac{39}{12} \]

### Step 3: Simplify the Fraction
- Divide the numerator and denominator by their greatest common divisor (GCD), which is 3:
\[ \frac{39 \div 3}{12 \div 3} = \frac{13}{4} \]

### Step 4: Convert Back to a Mixed Number (if needed)
- \( \frac{13}{4} = 3 \frac{1}{4} \)

So, \( 2 \frac{1}{6} \times 1 \frac{1}{2} = 3 \frac{1}{4} \).

Would you like more details or have any questions?

Here are 8 related questions you might find useful:
1. How do you find the GCD of two numbers?
2. How do you convert a mixed number to an improper fraction?
3. How do you convert an improper fraction to a mixed number?
4. How do you multiply two fractions?
5. What are the steps to simplify a fraction?
6. What is the meaning of an improper fraction?
7. How do you add two mixed numbers?
8. How do you divide two mixed numbers?

**Tip:** When multiplying mixed numbers, always convert them to improper fractions first for easier calculation.

Learn how to multiply mixed numbers 2 1/6 and 1 1/2 with a detailed step-by-step solution. This problem involves converting mixed numbers to improper fractions, multiplying fractions, simplifying fractions, and converting back to mixed numbers. Suitable for students in Grades 5-7.

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