Intermediate continued fraction convergent
= Intermediate continued fraction convergent
= Intermediate convergent
{synonym}
Between consecutive <continued fraction convergents>, intermediate convergents have the form $(t p_{k-1}+p_{k-2})/(t q_{k-1}+q_{k-2})$ for $1\le t\le a_k$. The final value $t=a_k$ is the next convergent.