Solve: Product of 1/2 × 2/3 × 1/2 Using Substitutive Property

To solve the problem $\frac{1}{2} \times \frac{2}{3} \times \frac{1}{2}$, follow these steps:

• Step 1: Multiply the numerators

We multiply the numerators of the fractions together: $1 \times 2 \times 1 = 2$.

• Step 2: Multiply the denominators

Similarly, multiply the denominators of the fractions: $2 \times 3 \times 2 = 12$.

• Step 3: Form the resulting fraction

After multiplying the numerators and denominators, we form the fraction: $\frac{2}{12}$.

• Step 4: Simplify the fraction

We simplify $\frac{2}{12}$ by finding the greatest common divisor (GCD) of 2 and 12, which is 2. Dividing both the numerator and denominator by 2, we get:

$\frac{2}{12} = \frac{2 \div 2}{12 \div 2} = \frac{1}{6}$.

Thus, the correct solution is $\frac{1}{6}$.