# Fractions and roots

Fractions, binomials, and roots.

https://texform.dev/latex/topics/fractions-roots

This topic has 21 commands from the base and ams packages. Commands show whether MathJax, KaTeX, and XeTeX render them. Entries are ordered by how often they appear in corpus formulas.

Packages: base (14), ams (8).

| Name | Kind | Definition | Packages | MathJax | KaTeX | XeTeX | Frequency |
| --- | --- | --- | --- | --- | --- | --- | --- |
| [\\frac](https://texform.dev/latex/commands/frac) | command | Standard fractions in mathematical expressions, derivations, and formulas. | ams, base | full | full | full | 38.65% |
| [\\sqrt](https://texform.dev/latex/commands/sqrt) | command | Used for square roots and n-th roots in mathematical expressions, including radicands given as a single token, a grouped expression, or a bare fraction command. | base | full | full | full | 6.99% |
| [\\over](https://texform.dev/latex/commands/over) | command | Plain-TeX infix fraction form placed between a numerator on the left and a denominator on the right. | base | full | full | full | 1.18% |
| [\\dfrac](https://texform.dev/latex/commands/dfrac) | command | Display-style fractions forced in contexts such as inline math or nested formulas when a larger fraction layout is wanted. | ams | full | full | full | 1.07% |
| [\\tfrac](https://texform.dev/latex/commands/tfrac) | command | Text-style fractions, often used inside displayed equations or tighter layouts where a smaller fraction form is desired. | ams | full | full | full | 0.61% |
| [\\binom](https://texform.dev/latex/commands/binom) | command | Binomial coefficients and parenthesized combinations such as choosing k from n. | ams | full | full | full | 0.52% |
| [\\choose](https://texform.dev/latex/commands/choose) | command | Plain-TeX infix binomial-style form with parentheses as fixed delimiters and no fraction bar. | base | full | full | full | 0.21% |
| [\\atop](https://texform.dev/latex/commands/atop) | command | Plain-TeX infix generalized fraction without a fraction bar, placing the left formula over the right formula. | base | full | full | full | 0.11% |
| [\\cfrac](https://texform.dev/latex/commands/cfrac) | command | Used for continued fractions, with an optional alignment selector for the numerator and denominator within the fraction. | ams | full | full | full | 0.04% |
| [\\genfrac](https://texform.dev/latex/commands/genfrac) | command | Low-level AMS generalized fraction primitive used to build custom fractions or binomial-style forms with chosen delimiters, line thickness, and math style. | ams | full | full | full | 0.04% |
| [\\brack](https://texform.dev/latex/commands/brack) | command | Plain-TeX infix generalized fraction with brackets as fixed delimiters and no fraction bar. | base | full | full | full | <0.01% |
| [\\tbinom](https://texform.dev/latex/commands/tbinom) | command | Text-style binomial coefficients for tighter layouts, especially inside displayed formulas or nested expressions. | ams | full | full | full | <0.01% |
| [\\dbinom](https://texform.dev/latex/commands/dbinom) | command | Display-style binomial coefficients forced in tighter contexts when a larger binomial layout is preferred. | ams | full | full | full | <0.01% |
| [\\brace](https://texform.dev/latex/commands/brace) | command | Plain-TeX infix generalized fraction with braces as fixed delimiters and no fraction bar. | base | full | full | full | <0.01% |
| [\\root](https://texform.dev/latex/commands/root) | command | Legacy/plain-TeX nth-root notation such as \root 3 \of x, mainly for compatibility with older TeX sources rather than modern LaTeX style. | base | full | none | full | <0.01% |
| [\\uproot](https://texform.dev/latex/commands/uproot) | command | Used inside a \root...\of expression to shift the root index upward relative to the radical. | base | full | none | none | <0.01% |
| [\\atopwithdelims](https://texform.dev/latex/commands/atopwithdelims) | command | Plain-TeX infix generalized fraction without a fraction bar, but with explicit left and right delimiters. | base | full | none | full | <0.01% |
| [\\leftroot](https://texform.dev/latex/commands/leftroot) | command | Used inside a \root...\of expression to shift the root index leftward relative to the radical. | base | full | none | none | <0.01% |
| [\\overwithdelims](https://texform.dev/latex/commands/overwithdelims) | command | Plain-TeX infix generalized fraction with explicit left and right delimiters before the denominator. | base | full | none | full | <0.01% |
| [\\above](https://texform.dev/latex/commands/above) | command | Plain-TeX infix generalized fraction with an explicit rule thickness between the left and right formulas. | base | full | full | full | <0.01% |
| [\\abovewithdelims](https://texform.dev/latex/commands/abovewithdelims) | command | Plain-TeX infix generalized fraction with explicit rule thickness and explicit left/right delimiters. | base | full | none | full | — |