Solve Fraction Division: 1/2 ÷ 3/5 Step-by-Step

To solve the division $\frac{1}{2} \div \frac{3}{5}$, we will follow the multiplication by the reciprocal method. Here are the steps:

• Step 1: Find the reciprocal of the divisor $\frac{3}{5}$, which is $\frac{5}{3}$.
• Step 2: Multiply the dividend $\frac{1}{2}$ by the reciprocal found in Step 1: $\frac{1}{2} \times \frac{5}{3}$.
• Step 3: Multiply the numerators: $1 \times 5 = 5$.
• Step 4: Multiply the denominators: $2 \times 3 = 6$.
• Step 5: Combine the results to form the fraction $\frac{5}{6}$.

The simplified result of $\frac{1}{2} \div \frac{3}{5}$ is $\frac{5}{6}$.