Template:Dec to frac: Difference between revisions
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<small>{{frac|{{#ifexpr:{{floor|{{{1}}}}}<>0|{{floor|{{{1}}}}}}}|{{#expr:((({{#expr:{{{1}}}-{{floor|{{{1}}}}}}})*{{{2}}}) round 0)/{{gcd|((({{#expr:{{{1}}}-{{floor|{{{1}}}}}}})*{{{2}}}) round 0)|{{{2}}}}}}}|{{#expr:{{{2}}}/{{gcd|((({{#expr:{{{1}}}-{{floor|{{{1}}}}}}})*{{{2}}}) round 0)|{{{2}}}}}}}}}</small> | <includeonly><small>{{frac|{{#ifexpr:{{floor|{{{1}}}}}<>0|{{floor|{{{1}}}}}}}|{{#expr:((({{#expr:{{{1}}}-{{floor|{{{1}}}}}}})*{{{2}}}) round 0)/{{gcd|((({{#expr:{{{1}}}-{{floor|{{{1}}}}}}})*{{{2}}}) round 0)|{{{2}}}}}}}|{{#expr:{{{2}}}/{{gcd|((({{#expr:{{{1}}}-{{floor|{{{1}}}}}}})*{{{2}}}) round 0)|{{{2}}}}}}}}}</small></includeonly><noinclude> | ||
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== | |||
*<nowiki>{{dec to frac|3.6742|16}}</nowiki> → {{dec to frac|3.6742|16}} | |||
*<nowiki>{{dec to frac|0.375|16}}</nowiki> → {{dec to frac|0.375|16}} | |||
==Known issues== | |||
Since the resulting fraction is the closest of what can be achieved using the supplied denominator, this template may occasionally produce odd results: | |||
*<nowiki>{{dec to frac|3.999|9}}</nowiki> → {{dec to frac|3.999|9}} | |||
[[Category:Mathematical function templates]] | |||
</noinclude> | |||
Revision as of 19:20, 3 August 2007
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}} → Template:Frac
- {{dec to frac|0.375|16}} → Template:Frac
Known issues
Since the resulting fraction is the closest of what can be achieved using the supplied denominator, this template may occasionally produce odd results:
- {{dec to frac|3.999|9}} → Template:Frac