Solve Fraction Division: 1/6 ÷ 1/3 Step-by-Step

To solve the division of fractions problem $\frac{1}{6} \div \frac{1}{3}$, we'll apply the concept of multiplying by the reciprocal.

• Step 1: Identify the reciprocal of the second fraction. The reciprocal of $\frac{1}{3}$ is $\frac{3}{1}$.
• Step 2: Multiply the first fraction by this reciprocal. Therefore, calculate $\frac{1}{6} \times \frac{3}{1}$.
• Step 3: Perform the multiplication. Multiply the numerators: $1 \times 3 = 3$. Multiply the denominators: $6 \times 1 = 6$.
• Step 4: Simplify the resulting fraction. The fraction $\frac{3}{6}$ simplifies to $\frac{1}{2}$ because both the numerator and denominator can be divided by 3.

Therefore, the solution to the problem is $\frac{1}{2}$.