Question: Simplify. \[ \frac{2}{5} \cdot \frac{1}{2} x \] Assume that the variable represents

Simplify.

\[ \frac{2}{5} \cdot \frac{1}{2} x \]

Assume that the variable represents

Solution

The problem asks you to simplify the expression: \[ \frac{2}{5x} \cdot \frac{1}{2x} \] First, multiply the numerators: \[ 2 \times 1 = 2 \] Then, multiply the denominators: \[ 5x \times 2x = 10x^2 \] Combine these to form the fraction: \[ \frac{2}{10x^2} \] Simplify the fraction by dividing both the numerator and the denominator by 2: \[ \frac{1}{5x^2} \] So, the simplified expression is: \[ \frac{1}{5x^2} \]