This is not so much a property as it is a postulate upon which other properties of mathematical calculations are based. In other words, it is a tenet, or building block, assumed to be true because it has yet to be proved untrue - that is, it works for all known numbers, and therefore must be true.
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The equasion would be 10x 1/j = 5x1/9 (if j equals some number) so the answer would be j=18.
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To get the reciprocal of any number, just divide 1 by that number. To check the result: the number times its reciprocal must equal 1.