Solve: 2/4 × 2/3 × 2/4 Using the Substitutive Property

Solve the exercise using the substitutive property:

$\frac{2}{4}\times\frac{2}{3}\times\frac{2}{4}=$

Video Solution

Solution Steps

00:08 Let's solve this using the distributive law.

00:12 Arrange the exercise using the distributive law, so it's easy to solve.

00:19 Remember to multiply the numerators together, and the denominators together.

00:26 Now, go ahead and calculate the multiplications.

00:38 Try to reduce the fraction as much as possible.

00:43 Make sure you divide both the numerator and the denominator.

00:49 And that's how we find the solution to this question!

Step-by-Step Solution

To solve this problem, we need to multiply the three given fractions:
$\frac{2}{4} \times \frac{2}{3} \times \frac{2}{4}$

The steps involved in multiplying these fractions are as follows:

Step 1: Multiply the numerators. The numerators are 2, 2, and 2. Multiplying these together gives:
$2 \times 2 \times 2 = 8$ .
Step 2: Multiply the denominators. The denominators are 4, 3, and 4. Multiplying these together gives:
$4 \times 3 \times 4 = 48$ .
Step 3: Combine the results to form a new fraction:
$\frac{8}{48}$ .
Step 4: Simplify the fraction. To simplify $\frac{8}{48}$ , we find the greatest common divisor (GCD) of 8 and 48, which is 8. Divide both the numerator and denominator by 8:
$\frac{8 \div 8}{48 \div 8} = \frac{1}{6}$ .

Therefore, the solution to the given exercise is $\frac{1}{6}$ .