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Since 2.33333... is a repeating decimal (or recurring decimal), it is a rational number.
Yes. Any terminating decimal is a rational number. Any repeating decimal also.
.833 IS a repeating decimal. This is a rational number as well as it has a repetitive pattern.
Any repeating decimal digits (this includes repetition after a certain point, e.g. 2.4510101010...) is a rational number.
Divide the numerator of the rational number by its denominator. The quotient is the decimal equivalent.