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

To solve the problem of multiplying the fractions $\frac{2}{3}$ and $\frac{1}{4}$, we will follow these steps:

• Step 1: Multiply the numerators of the fractions.
• Step 2: Multiply the denominators of the fractions.
• Step 3: Simplify the resulting fraction if necessary.

Let's begin solving the problem:

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

Step 2: Multiply the denominators:
$3 \times 4 = 12$.

Putting these together, the product of the fractions is:
$\frac{2}{12}$.

Step 3: Simplify the fraction $\frac{2}{12}$. Both the numerator and the denominator are divisible by 2:
Divide the numerator and denominator by 2:
$\frac{2 \div 2}{12 \div 2} = \frac{1}{6}$.

Therefore, the product of $\frac{2}{3}$ and $\frac{1}{4}$ simplifies to $\frac{1}{6}$.

From the given choices, the correct answer is choice 3: $\frac{1}{6}$.