\begin{definition}[Definition:Convergent of Continued Fraction/Definition 2]
{{Definition:Convergent of Continued Fraction}}
The '''$k$th convergent''' $C_k$ of $C$ is the quotient of the $k$th numerator $p_k$ by the $k$th denominator $q_k$:
:$C_k = \dfrac {p_k} {q_k}$
\end{definition}