{"schema":"https://ver.cy/schemas/card/1.0.0","id":"vr.tr.fraction","code":"thing-q66055","url":"https://ver.cy/models/thing/q66055/","name":"fraction","alternateNames":["non-unit fraction","submultiple of a unit","monetary subunit","generating fraction","improper fraction","proper fraction","reducible fraction","Maxraj","Egyptian fraction","mixed form","quantum number","irreducible fraction"],"kind":"thing","status":"published","version":"0.2.0-wave.3","language":"en","classifiers":{"family":"Thing Registry","category":"Information and virtual systems","entryKind":"thing","plane":"INF","domain":["INF.MED"],"industry":[],"navPath":"","tags":[],"facets":{}},"whatItIs":"A number expressing a part of a whole or a ratio of two integers, written as a numerator over a denominator, such as three quarters; fractions represent rational numbers, are taught as a foundation of arithmetic, and appear as proper, improper and mixed forms, in unit subdivisions such as monetary subunits, and in notation across mathematics.","purpose":"Let an agent explain fractions and their arithmetic, distinguish fractions as notation from rational numbers as values, support learning and calculation, and route specialised uses to their entries.","scope":{"in":[],"out":[],"boundaries":[]},"distinguishingFeatures":["Exact representation of ratios","Notation distinct from value","Equivalent forms with different denominators","Foundation of arithmetic"],"structure":{"bundles":[{"id":"concept","name":"Concept","description":"What a fraction is.","layers":[{"id":"definition","name":"Definition","description":"Definition.","findings":[{"id":"definition-finding","name":"Definition","description":"Definition.","questions":[{"text":"What does a fraction represent, and how do numerator and denominator work?","kind":"definition"},{"text":"Is the question about fraction notation, rational numbers or ratios?","kind":"boundary"}]}]},{"id":"kinds","name":"Kinds","description":"Kinds.","findings":[{"id":"kinds-finding","name":"Kinds","description":"Kinds.","questions":[{"text":"What kinds of fractions exist, and how are they converted between forms?","kind":"definition"},{"text":"Which entry fits rational numbers?","kind":"action"}]}]}]},{"id":"compute","name":"Compute","description":"Arithmetic.","layers":[{"id":"operations","name":"Operations","description":"Operations.","findings":[{"id":"operations-finding","name":"Operations","description":"Operations.","questions":[{"text":"How are fractions added, subtracted, multiplied, divided and simplified?","kind":"action"},{"text":"What is the result for the calculation in question?","kind":"measurement"}]}]},{"id":"conversion","name":"Conversion","description":"Conversion.","findings":[{"id":"conversion-finding","name":"Conversion","description":"Conversion.","questions":[{"text":"How are fractions converted to decimals and percentages, and when is exactness lost?","kind":"action"},{"text":"Which entry fits decimals?","kind":"action"}]}]}]},{"id":"learn","name":"Learn","description":"Teaching.","layers":[{"id":"teaching","name":"Teaching","description":"Teaching fractions.","findings":[{"id":"teaching-finding","name":"Teaching","description":"Teaching.","questions":[{"text":"How are fractions taught, and which models and representations help?","kind":"provenance"},{"text":"Which references are standard?","kind":"provenance"}]}]},{"id":"misconceptions","name":"Misconceptions","description":"Misconceptions.","findings":[{"id":"misconceptions-finding","name":"Misconceptions","description":"Misconceptions.","questions":[{"text":"Which misconceptions are common, and how are they addressed?","kind":"provenance"},{"text":"Which entry fits mathematics education?","kind":"action"}]}]}]},{"id":"context","name":"Context","description":"History and uses.","layers":[{"id":"history","name":"History","description":"History.","findings":[{"id":"history-finding","name":"History","description":"History.","questions":[{"text":"How did fraction notation develop from Egyptian unit fractions to modern notation?","kind":"provenance"},{"text":"Which entry fits the history of mathematics?","kind":"action"}]}]},{"id":"uses","name":"Uses","description":"Uses.","findings":[{"id":"uses-finding","name":"Uses","description":"Uses.","questions":[{"text":"How are fractions used in measurement, music, finance and units?","kind":"provenance"},{"text":"Which entry fits a specific use?","kind":"action"}]}]}]}]},"agentConduct":{"may":["Compute with fractions and show the working step by step.","Explain proper, improper and mixed forms and how to convert between them."],"mustNot":["Add numerators and denominators separately or teach that as valid.","Round a fraction to a decimal in a result without saying so.","Give a learner only the answer when the task is to learn the method.","Mark a correct but differently written fraction as wrong."],"requiresHuman":["Grading a learner's work where marks have consequences."]},"ethics":{"considerations":["Fractions are a gateway topic; poor teaching can turn learners away from mathematics."],"affectedParties":["Learners","Teachers and parents"]},"owners":{"steward":"Nobody owns the concept; it belongs to the shared body of mathematics.","roles":[],"masterSystems":[]},"relations":[{"target":"Q1140046","type":"parent","note":"registry parent class"},{"target":"Q1244890","type":"parent","note":"registry parent class"},{"target":"mathematical notation","type":"related","note":"a way of writing numbers"},{"target":"rational number","type":"related","note":"the value"},{"target":"decimal","type":"related","note":"another representation"},{"target":"ratio","type":"related","note":"a comparison of quantities"}],"interaction":{"identity":{"applicability":"required","items":["Vercy registry: vr.tr.fraction","Wikidata: Q66055 (https://www.wikidata.org/wiki/Q66055)"]},"properties":{"applicability":"not-applicable","items":[]},"recognition":{"applicability":"optional","items":["Numerator over denominator","Proper, improper and mixed forms","A ratio, a decimal and a percentage express related ideas differently","Not visible in itself; written as one number over another with a bar or slash."]},"capabilities":{"applicability":"required","items":["explain notation and kinds of fraction","perform and explain fraction arithmetic","convert between fractions, decimals and percentages","support teaching and common misconceptions"]},"hazards":{"applicability":"required","items":["Adding numerators and denominators separately","Confusing fraction notation with division or ratio contexts","Rounding errors when converting to decimals"]},"interfaces":{"applicability":"required","items":["Mathematics curricula and standards for teaching fractions","ISO 80000-2 notation conventions"]},"context":{"applicability":"required","items":["Expressing parts and ratios exactly.","proper and improper fractions","mixed numbers","unit fractions","equivalent and simplified fractions","continued fractions and generating fractions","fractions in units such as monetary subunits"]}},"sources":[{"title":"Wikidata item Q66055: fraction","url":"https://www.wikidata.org/wiki/Q66055","note":"identity and sense of the item"},{"title":"Wikipedia: Fraction","url":"https://en.wikipedia.org/wiki/Fraction","note":"general description of the item"}],"openQuestions":["Should rational number be the primary entry?","How should curricula be linked?","The registry entry has merged aliases for monetary subunits; should they be split off?"],"resources":{"spec":"/models/things/publications/thing-q66055/spec.json"},"provenance":{"origin":"thing registry research (pass 2)","builtFrom":["models/things/publications/thing-q66055/spec.json"],"providers":["Claude"],"researchStatus":"unreviewed","generatedAt":"2026-09-12T20:35:42Z","builder":"tools/build_cards.py@1.0.0"},"completeness":{"sections":{"classifiers":"filled","whatItIs":"filled","purpose":"filled","distinguishingFeatures":"filled","structure":"filled","agentConduct":"filled","ethics":"filled","owners":"filled","relations":"filled","interaction.identity":"filled","interaction.properties":"not-applicable","interaction.recognition":"filled","interaction.capabilities":"filled","interaction.hazards":"filled","interaction.interfaces":"filled","interaction.context":"filled","sources":"filled"},"notes":{"_gate":"Published through the thing publication gate 1.0 on 2026-10-06T19:52:01+00:00: completeness 1.00; sense: Wikidata description; 2 live sources; review by codex: pass","interaction.properties":"Plane INF: no invented physical properties."},"score":1.0}}