What happens if you divide any number by its reciprocal?

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1196296

2026-05-22 12:01

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When you divide any number by its reciprocal, the result is always 1. This is because the reciprocal of a number ( x ) is ( \frac{1}{x} ), and dividing ( x ) by ( \frac{1}{x} ) is equivalent to multiplying ( x ) by its reciprocal, which simplifies to ( x \times \frac{x}{1} = x^2 ) divided by ( x ), resulting in 1. Therefore, regardless of the non-zero number chosen, the outcome remains the same.

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