Solve the Fraction Multiplication: 2/5 × 1/2

To solve this problem, let's multiply the fractions $\frac{2}{5}$ and $\frac{1}{2}$.

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

Step 2: Multiply the denominators:
$5 \times 2 = 10$

Step 3: Construct the fraction using the products from steps 1 and 2:
$\frac{2}{10}$

Step 4: Simplify the fraction. We can divide both the numerator and the denominator by their greatest common divisor, which is 2:
$\frac{2 \div 2}{10 \div 2} = \frac{1}{5}$

Thus, the product of $\frac{2}{5}$ and $\frac{1}{2}$ is $\frac{1}{5}$.

Therefore, the solution to the problem is $\frac{1}{5}$.