# Definition talk:Continued Fraction/Expansion of Real Number

This is to make clear what is meant when talking about the continued fraction of a real number. Take for example Condition for Rational to be a Convergent: the statement of the theorem links to Definition:Convergent of Continued Fraction, but it does not specify which continued fraction of $x$ we're talking about. There are plenty continued fractions converging to $x$, if we allow non-integers as partial quotients, but the theorem implicitly assumes the reader understands it is the one defined on this page.