# Template:Dec to frac

From Sydapedia

This template converts decimal fractions to vulgar fractions. It takes two parameters:

- fraction to be converted;
- resulting vulgar fraction's denominator

If the decimal fraction includes an integer part, it is retained in the output. If the resulting vulgar fraction can be resolved in lower terms than specified denominator, it is resolved, but due to algorithm limitation fractions with relatively large nominators/denominators may be left unresolved.

## Examples

- {{dec to frac|3.6742|16}} →
**Expression error: Unrecognised punctuation character "["** - {{dec to frac|0.375|16}} →
**Expression error: Unrecognised punctuation character "["**

Sometimes it is impossible to convert a decimal to a vulgar fraction with requested denominator, in which cases the output is simply an input rounded up:

- {{dec to frac|3.99|8}} →
**Expression error: Unrecognised punctuation character "["**

...or down:

- {{dec to frac|3.1|2}} →
**Expression error: Unrecognised punctuation character "["**

When that is unacceptable, increase the denominator:

- {{dec to frac|3.99|100}} →
**Expression error: Unrecognised punctuation character "["** - {{dec to frac|3.1|10}} →
**Expression error: Unrecognised punctuation character "["**