---
tag: 0D474C7ES1
kind: concept
name: Convergents of a continued fraction
msc: [11A55]
sources:
  - url: https://en.wikipedia.org/wiki/Simple_continued_fraction
    locator: lead section
---

## Summary

The convergents of a continued fraction are the fractions obtained by cutting it off after finitely many terms.
The [[definition of the convergents|0SRWNR42BQ]] gives the precise form.