Multiply. Write your answer as a fraction or as a whole or mixed number. \( 3 \frac{2}{3} \times 1 \frac{7}{8}=\square \) Submit

To multiply the mixed numbers \( 3 \frac{2}{3} \times 1 \frac{7}{8} \), follow these steps: 1. **Convert Mixed Numbers to Improper Fractions:** - \( 3 \frac{2}{3} = \frac{3 \times 3 + 2}{3} = \frac{11}{3} \) - \( 1 \frac{7}{8} = \frac{1 \times 8 + 7}{8} = \frac{15}{8} \) 2. **Multiply the Improper Fractions:** \[ \frac{11}{3} \times \frac{15}{8} = \frac{11 \times 15}{3 \times 8} = \frac{165}{24} \] 3. **Simplify the Fraction:** - Divide both numerator and denominator by 3: \[ \frac{165 \div 3}{24 \div 3} = \frac{55}{8} \] - Convert to a mixed number: \[ \frac{55}{8} = 6 \frac{7}{8} \] **Final Answer:** \[ 6 \frac{7}{8} \]