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

Question

Solve the exercise using the substitutive property:

35×23×25= \frac{3}{5}\times\frac{2}{3}\times\frac{2}{5}=

Video Solution

Solution Steps

00:00 Solve using the distribution law
00:03 Let's use the distribution law and arrange the exercise in a convenient way to solve
00:13 Make sure to multiply numerator by numerator and denominator by denominator
00:20 Calculate the multiplications
00:23 Reduce what's possible
00:28 And this is the solution to the question

Step-by-Step Solution

To solve the exercise 35×23×25 \frac{3}{5} \times \frac{2}{3} \times \frac{2}{5} , we will follow a step-by-step approach:

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

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

Step 3: Form the fraction by placing the product of numerators over the product of denominators:
1275 \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:
12÷375÷3=425 \frac{12 \div 3}{75 \div 3} = \frac{4}{25}

Therefore, the simplified product of the given fractions is 425 \frac{4}{25} .

Answer

425 \frac{4}{25}