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Simplify 5⁄2 ÷ 1⁄x

  • A.5x ⁄ 2
  • B.5 ⁄ 2x
  • C.2 ⁄ 5x
  • D.2x ⁄ 5

Answer: A

Dividing by a fraction means multiplying by its reciprocal.

\[ \frac{5}{2} \div \frac{1}{x} = \frac{5}{2} \times \frac{x}{1} = \frac{5x}{2} \]

The reciprocal of \( \tfrac{1}{x} \) is \( x \), so the \( x \) moves to the numerator.

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