Final answer:
The complex fraction 1 - (1/x) ÷ 2 simplifies to (2x - 1) ÷ (2x) after finding the common denominator and rewriting the expression.
Step-by-step explanation:
The student is asking how to simplify the complex fraction 1 - (1/x) ÷ 2. To begin simplifying this expression, we first note that dividing by 2 is the same as multiplying by the reciprocal, which is 1/2. Therefore, the expression becomes 1 - (1/x) × (1/2). To simplify further, we can find a common denominator for the terms within the expression. In this case, the common denominator would be 2x. Rewriting the entire expression with the common denominator, we have (2x - 1) ÷ (2x). This fraction can be simplified, but the simplification would depend on whether we are looking for a particular form or solving for x.