Yes.
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1 is a number that is equal to its reciprocal, 1. Just for future references, a reciprocal is sort of like the inverse of a number. 10 is 10/1 so the reciprocal would be 1/10. 1 is 1/1 so the reciprocal is 1.
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Any number multiplied by its reciprocal is equal to ' 1 '.
You can multiply any pair of rational numbers as well as any irrational number and its reciprocal (or a rational multiple of its reciprocal. Thus pi * 3/7*(1/pi) is rational.