6) \( \frac{3}{5} \div \frac{1}{2}= \)

To solve the division of two fractions, follow these steps: **Problem:** \[ \frac{3}{5} \div \frac{1}{2} \] **Step 1: Understand Division of Fractions** Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of a fraction is created by swapping its numerator and denominator. **Step 2: Find the Reciprocal** \[ \text{Reciprocal of } \frac{1}{2} \text{ is } \frac{2}{1} \] **Step 3: Multiply the Fractions** \[ \frac{3}{5} \div \frac{1}{2} = \frac{3}{5} \times \frac{2}{1} \] **Step 4: Perform the Multiplication** \[ \frac{3}{5} \times \frac{2}{1} = \frac{3 \times 2}{5 \times 1} = \frac{6}{5} \] **Step 5: Simplify if Necessary** \[ \frac{6}{5} \text{ can also be written as } 1 \frac{1}{5} \] **Final Answer:** \[ \frac{3}{5} \div \frac{1}{2} = \frac{6}{5} \quad \text{or} \quad 1 \frac{1}{5} \]