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

Question

$\frac{2}{3}\times\frac{1}{2}\times\frac{4}{5}=$

00:00 Solve

00:03 We'll make sure to multiply numerator by numerator and denominator by denominator

00:09 We'll reduce what we can

00:12 We'll calculate the multiplications

00:16 And this is the solution to the question

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 $\frac{4}{15}$ .

$\frac{4}{15}$