Khinchin's theorem is a result in number theory that deals with the distribution of the fractional parts of the sequences generated by continued fractions. It states that for almost all real numbers, the sequence of their continued fraction coefficients leads to a specific statistical behavior. This means that the properties of these coefficients can be predicted for most numbers, even though individual cases may vary. The theorem highlights that the average size of the coefficients in the continued fraction representation is bounded, providing insight into the nature of irrational numbers. This result is significant in understanding the relationship between irrational numbers and their continued fraction expansions.