3.6666 = 36666/10000.Thus 3.6666 can be expressed in the form of a ratio in which both the numerator and the denominator are integers. Therefore it is a rational number.
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As much as, in these days of uncertainty, anything can be anything. As long as the constraints of a rational number are kept to, a rational number will always remain a rational number.
Yes.
Yes, but only if the rational number is 0.
Only if the rational number is 0.
A rational number which is an integer can be simplified to a form in which the denominator is 1. That is not possible for a rational number which is not an integer.