قالب:Rndfrac/شرح

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

the number to be rounded (any real number)
the denominator to be rounded to (positive interger)

Fractions are expressed in the simplest terms.

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

{{rndfrac|0.1234|8}} → ¹⁄₈
{{rndfrac|12.65|6}} → 12²⁄₃
{{rndfrac|-9.123|20}} → −9¹⁄₁₀

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>
}}

Code

See also