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Perform the operation and express your answer as a single fraction in simplest form. (1)/(2)-(1)/(x) Answer:

Perform the operation and express your answer as a single fraction in simplest form.\newline12−1x \frac{1}{2}-\frac{1}{x} \newlineAnswer:

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Full solution

Q. Perform the operation and express your answer as a single fraction in simplest form.\newline12−1x \frac{1}{2}-\frac{1}{x} \newlineAnswer:
  1. Identify Common Denominator: Identify the common denominator for the fractions.\newlineSince we have the fractions 12\frac{1}{2} and 1x\frac{1}{x}, the common denominator will be 2x2x.
  2. Rewrite with Common Denominator: Rewrite each fraction with the common denominator. (12)(\frac{1}{2}) becomes (x2x)(\frac{x}{2x}) and (1x)(\frac{1}{x}) becomes (22x)(\frac{2}{2x}).
  3. Perform Subtraction: Perform the subtraction using the common denominator. \newline(x2x)−(22x)=x−22x(\frac{x}{2x}) - (\frac{2}{2x}) = \frac{x - 2}{2x}
  4. Check for Simplification: Check if the resulting fraction can be simplified further. The numerator (x−2)(x - 2) and the denominator (2x)(2x) do not have any common factors other than 11, so the fraction is already in simplest form.

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