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

To solve the division of fractions problem $\frac{1}{2} \div \frac{2}{3}$, we follow these steps:

• Step 1: Rewrite the division problem as multiplication by the reciprocal: $\frac{1}{2} \div \frac{2}{3}$ becomes $\frac{1}{2} \times \frac{3}{2}$.
• Step 2: Multiply the numerators together: $1 \times 3 = 3$.
• Step 3: Multiply the denominators together: $2 \times 2 = 4$.
• Step 4: Form the new fraction from the resulting numerator and denominator: $\frac{3}{4}$.

Thus, the result of dividing $\frac{1}{2}$ by $\frac{2}{3}$ is $\frac{3}{4}$.

The correct answer is $\frac{3}{4}$.