To solve the expression \( 2 \frac{3}{4} \times \frac{7}{2} \), follow these steps:

1. Convert the mixed number \( 2 \frac{3}{4} \) into an improper fraction:
   \[
   2 \frac{3}{4} = \frac{4 \times 2 + 3}{4} = \frac{11}{4}
   \]

2. Now multiply the two fractions:
   \[
   \frac{11}{4} \times \frac{7}{2} = \frac{11 \times 7}{4 \times 2} = \frac{77}{8}
   \]

3. Simplify or convert the improper fraction \( \frac{77}{8} \) into a mixed number:
   \[
   \frac{77}{8} = 9 \frac{5}{8}
   \]

So, \( 2 \frac{3}{4} \times \frac{7}{2} = 9 \frac{5}{8} \).

Would you like more details, or do you have any questions?

Here are five related questions:
1. How do you convert a mixed number to an improper fraction?
2. What is the process of multiplying two fractions?
3. How do you simplify improper fractions?
4. How do you convert improper fractions back into mixed numbers?
5. What are some real-life applications of multiplying fractions?

**Tip:** Always simplify your fractions first if possible; it can make calculations easier!

Learn how to multiply the mixed number 2 3/4 and the fraction 7/2. This detailed step-by-step guide explains how to convert mixed numbers into improper fractions and multiply them. Suitable for students in Grades 5-7.

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