Solve: 1/3 × 3/4 × 1/3 Using the Substitutive Property

Solve the exercise using the substitutive property:

$\frac{1}{3}\times\frac{3}{4}\times\frac{1}{3}=$

Video Solution

Solution Steps

00:00 Solve using the substitution method

00:03 We'll use the substitution method and arrange the exercise in a way that's convenient to solve

00:12 Make sure to multiply numerator by numerator and denominator by denominator

00:20 Reduce what we can

00:23 Calculate the multiplications

00:27 And this is the solution to the question

Step-by-Step Solution

To solve this problem, follow these steps:

Step 1: Identify the fractions to be multiplied: $\frac{1}{3}$ , $\frac{3}{4}$ , $\frac{1}{3}$ .
Step 2: Multiply the numerators: $1 \times 3 \times 1 = 3$ .
Step 3: Multiply the denominators: $3 \times 4 \times 3 = 36$ .
Step 4: Write the resulting fraction: $\frac{3}{36}$ .
Step 5: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3: $\frac{3 \div 3}{36 \div 3} = \frac{1}{12}$ .

The solution to the problem is therefore $\frac{1}{12}$ .