Template:Dec to frac

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.

Examples

• {{dec to frac|3.6742|16}} → {{#ifexpr:(3.6742-Template:Floor
• {{dec to frac|0.375|16}} → {{#ifexpr:(0.375-Template:Floor

Known issues

Since the resulting fraction is the closest to the decimal fraction of what can be achieved using the requested denominator, this template may occasionally produce odd results:

• {{dec to frac|3.999|9}} → {{#ifexpr:(3.999-Template:Floor