Sjabloon:Dec to frac

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This template employs intricate features of template syntax.

You are encouraged to familiarise yourself with its setup and parser functions before editing the template. If your edit causes unexpected problems, please undo it quickly, as this template may appear on a large number of pages.
Remember that you can conduct experiments, and should test all improvements, in either the or your user space before changing anything here.

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 numerators/denominators may be left unresolved.

Examples

{{dec to frac|3.6742|16}} → 3¹¹⁄₁₆
{{dec to frac|0.375|16}} → ³⁄₈

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}} → 4

...or down:

{{dec to frac|3.1|2}} → 3

When that is unacceptable, increase the denominator:

{{dec to frac|3.99|100}} → 3⁹⁹⁄₁₀₀
{{dec to frac|3.1|10}} → 3¹⁄₁₀

Sjabloon:Dec to frac

Examples

See also

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