Solve 1/2 × 1/3 × 1/2: Applying the Substitutive Property

Solve the exercise using the substitutive property:

$\frac{1}{2}\times\frac{1}{3}\times\frac{1}{2}=$

Video Solution

Solution Steps

00:00 Solve using the distributive law

00:03 We'll use the distributive law and arrange the exercise in a convenient way to solve

00:09 Make sure to multiply numerator by numerator and denominator by denominator

00:18 Let's calculate the multiplications

00:29 And this is the solution to the question

Step-by-Step Solution

Let's solve this problem step-by-step:

Step 1: Multiply the numerators of the fractions. We have $1 \times 1 \times 1 = 1$ .
Step 2: Multiply the denominators of the fractions. We have $2 \times 3 \times 2 = 12$ .
Step 3: Combine the results to form a fraction: $\frac{1}{12}$ .
Step 4: Simplify the fraction if possible. Since the fraction $\frac{1}{12}$ is already in its simplest form, no further simplification is needed.

Thus, the product of $\frac{1}{2} \times \frac{1}{3} \times \frac{1}{2}$ is $\frac{1}{12}$ .

The correct answer choice is $\frac{1}{12}$ , matching choice 4.

Therefore, the solution to the problem is $\frac{1}{12}$ .