\( 1 \leftarrow \begin{array}{l}\frac{10}{32} \div \frac{5}{8} \\ \frac{10}{32} \div \frac{5}{8}=\square \\ \text { (Type a whole number or a simplified fraction.) }\end{array} \)

To solve the division of two fractions: \[ \frac{10}{32} \div \frac{5}{8} \] Follow these steps: 1. **Rewrite the Division as Multiplication:** Dividing by a fraction is the same as multiplying by its reciprocal. \[ \frac{10}{32} \div \frac{5}{8} = \frac{10}{32} \times \frac{8}{5} \] 2. **Simplify Before Multiplying:** - Simplify \(\frac{10}{32}\): \[ \frac{10}{32} = \frac{5}{16} \quad (\text{divided numerator and denominator by } 2) \] - Now multiply: \[ \frac{5}{16} \times \frac{8}{5} \] 3. **Cancel Common Factors:** - The 5 in the numerator and denominator cancels out. \[ \frac{\cancel{5}}{16} \times \frac{8}{\cancel{5}} = \frac{8}{16} \] 4. **Simplify the Final Fraction:** \[ \frac{8}{16} = \frac{1}{2} \] **Answer:** \(\frac{1}{2}\)