Template:Rndfrac

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This template rounds to a fraction. It takes two parameters.

  1. the number to be rounded (any real number)
  2. the denominator to be rounded to (positive integer)

Fractions are expressed in the simplest terms.

The template calls {{gcd}} and {{rndfrac/out}}.

  • {{rndfrac|0.1234|8}}18
  • {{rndfrac|12.65|6}}12 23
  • {{rndfrac|-9.123|20}} → −9 110

Code

Main template {{rndfrac}}

{{#ifexpr: ( {{{2}}} - 1 ) round 0 = abs( {{{2}}} - 1 )
 | {{#ifexpr: {{{1}}} * {{{2}}} round 0 < 0
    |−
   }}{{formatnum: {{rndfrac/{{{out|out}}} 
                   | {{#expr: floor( (abs {{{1}}} * {{{2}}} round 0 ) / {{{2}}} ) }} 
                   | {{#expr: (abs {{{1}}} * {{{2}}} round 0 ) mod {{{2}}} }}
                   | {{{2}}}
                   | {{gcd | {{#expr: (abs {{{1}}} * {{{2}}} round 0 ) mod {{{2}}} }}
                           | {{{2}}}
                     }}
                  }}
     }}
 | {{color | red | This fractional rounding function only accepts positive intergers as the denominator. }}
}}

Sub-template {{rndfrac/out}}

{{#ifeq: {{{2}}} | 0 
 | {{{1}}}
 | <span class="frac nowrap">{{#ifexpr: {{{1}}} > 0
                              | {{{1}}}<sup>&#32;</sup>
                             }}{{#iferror: {{#expr: 1/{{{4}}} }}
                                | <sup>{{{2}}}</sup>&frasl;<sub>{{{3}}}</sub>
                                | <sup>{{#expr: {{{2}}} / {{{4}}} }}</sup>&frasl;<sub>{{#expr: {{{3}}} / {{{4}}} }}</sub>
                               }}
   </span>
}}

See also