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Sure! Let’s break down the division problems step by step.### (i) \(3 \frac{1}{2} \div 4\)1. **Convert the mixed number to an improper fraction:** \[ 3 \frac{1}{2} = \frac{7}{2} \]2. **Set up the division:** \[ \frac{7}{2} \div 4 \]3. **Convert the whole number (4) to a fraction:** \[ 4 = \frac{4}{1} \]4. **Change the division to multiplication by the reciprocal:** \[ \frac{7}{2} \cdot \frac{1}{4} \]5. **Multiply the fractions:** \[ \frac{7 \cdot 1}{2 \cdot 4} = \frac{7}{8} \]So, \(3 \frac{1}{2} \div 4 = \frac{7}{8}\).---### (ii) \(4 \frac{1}{3} \div 3\)1. **Convert the mixed number to an improper fraction:** \[ 4 \frac{1}{3} = \frac{13}{3} \]2. **Set up the division:** \[ \frac{13}{3} \div 3 \]3. **Convert the whole number (3) to a fraction:** \[ 3 = \frac{3}{1} \]4. **Change the division to multiplication by the reciprocal:** \[ \frac{13}{3} \cdot \frac{1}{3} \]5. **Multiply the fractions:** \[ \frac{13 \cdot 1}{3 \cdot 3} = \frac{13}{9} \]So, \(4 \frac{1}{3} \div 3 = \frac{13}{9}\).### Summary of Answers - **For (i):** \(3 \frac{1}{2} \div 4 = \frac{7}{8}\) - **For (ii):** \(4 \frac{1}{3} \div 3 = \frac{13}{9}\) *Note: If you prefer the answers in decimal form, \(\frac{7}{8}\) is approximately 0.875, and \(\frac{13}{9}\) is approximately 1.4444.*