\( 3 \frac{1}{10} \div 2 \frac{2}{7} \) \( 3 \frac{1}{10} \div 2 \frac{2}{7}=\square \) (Type a whole number, fraction, or mixed num

To solve \( 3 \frac{1}{10} \div 2 \frac{2}{7} \), follow these steps: 1. **Convert Mixed Numbers to Improper Fractions:** \[ 3 \frac{1}{10} = \frac{31}{10} \] \[ 2 \frac{2}{7} = \frac{16}{7} \] 2. **Divide the Fractions:** Dividing by a fraction is the same as multiplying by its reciprocal. \[ \frac{31}{10} \div \frac{16}{7} = \frac{31}{10} \times \frac{7}{16} = \frac{217}{160} \] 3. **Simplify the Result:** Convert the improper fraction back to a mixed number. \[ \frac{217}{160} = 1 \frac{57}{160} \] **Final Answer:** \[ 3 \frac{1}{10} \div 2 \frac{2}{7} = 1 \frac{57}{160} \]