# Definition:Partial Quotient

## Definition

Let $k$ be a field.

Let $(a_n)_{n\geq0}$ be a continued fraction in $k$, either finite or infinite.

Let $n \geq 0$ be a natural number.

The $n$th partial quotient is the $n$th term $a_n$.

## Also known as

A partial quotient is also known as a partial denominator, particularly in the case of a general continued fraction.