Multiply Three Fractions: 2/4 × 2/3 × 1/2 Step-by-Step

To solve this problem, I will follow these clear steps:

• Step 1: Multiply the numerators of the fractions: $2 \times 2 \times 1$.
• Step 2: Multiply the denominators of the fractions: $4 \times 3 \times 2$.
• Step 3: Simplify the resulting fraction.

Let's work through each step:

Step 1: Multiply the numerators: $2 \times 2 \times 1 = 4$.

Step 2: Multiply the denominators: $4 \times 3 \times 2 = 24$.

Step 3: Combine these results to write the product as a fraction:

$\frac{4}{24}$.

We need to simplify this fraction:

Find the greatest common divisor (GCD) of 4 and 24, which is 4.

Divide both the numerator and the denominator by their GCD:

$\frac{4}{24} = \frac{4 \div 4}{24 \div 4} = \frac{1}{6}$.

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