Solve the Fraction Equation: (3/4 × 1/2) - 1/4

To solve the problem $\frac{3}{4} \cdot \frac{1}{2} - \frac{1}{4}$, follow these steps:

• Step 1: Perform the multiplication operation:
  Calculate $\frac{3}{4} \cdot \frac{1}{2}$:
  Multiply the numerators: $3 \times 1 = 3$.
  Multiply the denominators: $4 \times 2 = 8$.
  Thus, $\frac{3}{4} \cdot \frac{1}{2} = \frac{3}{8}$.
• Step 2: Perform the subtraction operation:
  Now, subtract $\frac{1}{4}$ from $\frac{3}{8}$.
  Before subtracting, we need a common denominator. The least common denominator of $8$ and $4$ is $8$.
  Convert $\frac{1}{4}$ to have a denominator of $8$:
  $\frac{1}{4} = \frac{1 \times 2}{4 \times 2} = \frac{2}{8}$.
  Now, subtract the fractions:
  $\frac{3}{8} - \frac{2}{8} = \frac{3 - 2}{8} = \frac{1}{8}$.

Therefore, the solution to the problem is $\frac{1}{8}$.