To multiply \(2 \frac{3}{4} \times \frac{4}{7}\), we first need to convert the mixed number \(2 \frac{3}{4}\) into an improper fraction.

### Step 1: Convert the Mixed Number to an Improper Fraction

\[
2 \frac{3}{4} = \frac{2 \times 4 + 3}{4} = \frac{8 + 3}{4} = \frac{11}{4}
\]

### Step 2: Multiply the Improper Fraction by \(\frac{4}{7}\)

\[
\frac{11}{4} \times \frac{4}{7} = \frac{11 \times 4}{4 \times 7} = \frac{44}{28}
\]

### Step 3: Simplify the Fraction

To simplify \(\frac{44}{28}\), divide both the numerator and the denominator by their greatest common divisor (GCD), which is 4:

\[
\frac{44 \div 4}{28 \div 4} = \frac{11}{7}
\]

The simplified result is:

\[
\frac{11}{7}
\]

Or, as a mixed number:

\[
1 \frac{4}{7}
\]

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

### Related Questions:
1. How do you convert a mixed number to an improper fraction?
2. What steps are involved in simplifying fractions?
3. How do you multiply a fraction by a whole number?
4. How can you add or subtract mixed numbers?
5. What is the process for converting improper fractions to mixed numbers?

**Tip:** Always convert mixed numbers to improper fractions before performing operations like multiplication or division!

Learn how to multiply 2 3/4 by 4/7 with a step-by-step solution. This problem involves converting mixed numbers to improper fractions and multiplying fractions. Suitable for students in Grades 5-7.

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