Divide: \( 4 \frac{2}{3} \div 3 \frac{3}{4} \) \( 1 \frac{1}{2} \) \( \frac{6}{105} \) \( 1 \frac{11}{45} \) \( 1 \frac{8}{9} \)

To divide \( 4 \frac{2}{3} \) by \( 3 \frac{3}{4} \), follow these steps: 1. **Convert Mixed Numbers to Improper Fractions:** - \( 4 \frac{2}{3} = \frac{4 \times 3 + 2}{3} = \frac{14}{3} \) - \( 3 \frac{3}{4} = \frac{3 \times 4 + 3}{4} = \frac{15}{4} \) 2. **Set Up the Division:** \[ \frac{14}{3} \div \frac{15}{4} = \frac{14}{3} \times \frac{4}{15} \] 3. **Multiply the Fractions:** \[ \frac{14 \times 4}{3 \times 15} = \frac{56}{45} \] 4. **Simplify or Convert Back to a Mixed Number:** - \( \frac{56}{45} = 1 \frac{11}{45} \) **Final Answer:** \( 1 \frac{11}{45} \) Among the options provided, the correct answer is: \( 1 \frac{11}{45} \)