To multiply \( 3 \frac{3}{4} \times \frac{1}{2} \), first convert the mixed number to an improper fraction.

1. Convert \( 3 \frac{3}{4} \) to an improper fraction:
   \[
   3 \frac{3}{4} = \frac{15}{4}
   \]
   (since \( 3 \times 4 + 3 = 15 \)).

2. Now, multiply the two fractions:
   \[
   \frac{15}{4} \times \frac{1}{2} = \frac{15 \times 1}{4 \times 2} = \frac{15}{8}
   \]

3. Convert \( \frac{15}{8} \) to a mixed number:
   \[
   \frac{15}{8} = 1 \frac{7}{8}
   \]

So, the product of \( 3 \frac{3}{4} \times \frac{1}{2} \) is \( 1 \frac{7}{8} \).

Would you like more details on any step? Here are some related questions to explore further:

1. How do you convert between mixed numbers and improper fractions?
2. What are the rules for multiplying fractions?
3. How can you simplify fractions after multiplication?
4. What is the difference between improper fractions and mixed numbers?
5. How do you convert improper fractions into decimals?

**Tip:** When multiplying fractions, always simplify the result if possible!

Learn how to multiply 3 3/4 by 1/2 with a detailed step-by-step guide. This problem covers important fraction concepts, including mixed number conversion and fraction multiplication. Suitable for students in Grades 5-6.

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