Calculate the Product: (2/3) × (1/2) × (4/5) Step by Step

To solve this problem, let's multiply the given fractions step-by-step:

• Step 1: Multiply the numerators of the fractions together: $2 \times 1 \times 4 = 8$
• Step 2: Multiply the denominators of the fractions together: $3 \times 2 \times 5 = 30$
• Step 3: Form the fraction using the results from Steps 1 and 2: $\frac{8}{30}$
• Step 4: Simplify the fraction $\frac{8}{30}$: - Find the greatest common divisor (GCD) of 8 and 30, which is 2. $\frac{8 \div 2}{30 \div 2} = \frac{4}{15}$

The simplified fraction is $\frac{4}{15}$.

Therefore, the correct result of the multiplication is $\frac{4}{15}$.