1. **State the problem:** Multiply the mixed numbers $7 \frac{4}{5}$ and $8 \frac{1}{2}$. Write the answer as a fraction or a mixed number. 2. **Convert mixed numbers to improper fractions:** - $7 \frac{4}{5} = \frac{7 \times 5 + 4}{5} = \frac{35 + 4}{5} = \frac{39}{5}$ - $8 \frac{1}{2} = \frac{8 \times 2 + 1}{2} = \frac{16 + 1}{2} = \frac{17}{2}$ 3. **Multiply the improper fractions:** $$\frac{39}{5} \times \frac{17}{2} = \frac{39 \times 17}{5 \times 2} = \frac{663}{10}$$ 4. **Convert the improper fraction back to a mixed number:** - Divide 663 by 10: $663 \div 10 = 66$ remainder $3$ - So, $\frac{663}{10} = 66 \frac{3}{10}$ 5. **Final answer:** $$7 \frac{4}{5} \times 8 \frac{1}{2} = 66 \frac{3}{10}$$