Solve (3/5 × 2/3 × 2/5): Applying the Substitutive Property

Solve the exercise using the substitutive property:

$\frac{3}{5}\times\frac{2}{3}\times\frac{2}{5}=$

To solve the exercise $\frac{3}{5} \times \frac{2}{3} \times \frac{2}{5}$, we will follow a step-by-step approach:

Step 1: Multiply the numerators:
$3 \times 2 \times 2 = 12$

Step 2: Multiply the denominators:
$5 \times 3 \times 5 = 75$

Step 3: Form the fraction by placing the product of numerators over the product of denominators:
$\frac{12}{75}$

Step 4: Simplify the fraction. We find the greatest common divisor of 12 and 75, which is 3:
Divide the numerator and the denominator by 3:
$\frac{12 \div 3}{75 \div 3} = \frac{4}{25}$

Therefore, the simplified product of the given fractions is $\frac{4}{25}$.