To divide \( 3 \frac{1}{4} \) by 2, follow these steps:

1. **Convert the mixed number to an improper fraction:**

   \( 3 \frac{1}{4} = \frac{3 \times 4 + 1}{4} = \frac{13}{4} \)

2. **Divide the improper fraction by 2:**

   \[
   \frac{13}{4} \div 2 = \frac{13}{4} \times \frac{1}{2} = \frac{13 \times 1}{4 \times 2} = \frac{13}{8}
   \]

3. **Convert the improper fraction back to a mixed number (optional):**

   \[
   \frac{13}{8} = 1 \frac{5}{8}
   \]

So, \( 3 \frac{1}{4} \div 2 = \frac{13}{8} \) or \( 1 \frac{5}{8} \).

Would you like more details or have any questions?

Here are some related questions:
1. How do you multiply mixed numbers?
2. How can you simplify a fraction?
3. What is the process for dividing fractions?
4. How do you convert improper fractions to decimals?
5. Can you explain how to add mixed numbers?

**Tip:** When dividing by a whole number, you can multiply by its reciprocal (e.g., dividing by 2 is the same as multiplying by \( \frac{1}{2} \)).

This tutorial explains how to divide the mixed number 3 1/4 by 2. It covers the conversion of mixed numbers to improper fractions and the use of reciprocal multiplication in division. Perfect for students in Grades 5-7, this step-by-step guide simplifies the process.

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