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A rational number is any number that can be written in the form of one integer over another integer; all rational numbers have a decimal form that either terminates or repeats one, or more, digits forever.
4.680 is a terminating decimal, therefore it is a rational number.
4.680 = 4680/1000 = 468/100 = 117/25
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The decimal form of a rational number will repeat forever if the prime factorization of the denominator contains any prime other than 2 or 5.
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