fraction
the quotient of two rational numbers
Research draft, second pass
A second pass drafted this model: the structure a model of this thing needs, and what is known about it in the world. The line under this one says how the second half was obtained - researched against sources, or recalled without web access, in which case nothing here was read anywhere and every claim is a lead to verify. Unreviewed either way.
written by Claude from model knowledge without web access - no source was read, every claim is a lead to verify
Researched by: Claude
Purpose and description
Let an agent handle fractions by type, operations, simplification and conversion to decimals and percentages, for learning and practical use.
The quotient of two numbers written as a numerator over a denominator, such as proper fractions (3/4), improper fractions (7/4) and mixed numbers; also the fractional part of a number after the integer part.
What it is for: Expressing parts of wholes and ratios.
It can be simplify fractions; add, subtract, multiply and divide fractions; convert to decimals and percentages; compare fractions.
Distinguishing features
Part of a whole or ratio
Many equivalent forms
Rules for operations
Converts to decimals
What it looks like
Two numbers separated by a line or slash.
How it is recognised
Numerator and denominator
Proper, improper and mixed forms
Fraction in chemistry (distillation fraction) is a different sense
Related models
is a kind of - category
is simplified using - method
is related to - forms
is confused with - another sense
In practice
Families and kinds
proper fractions
improper fractions
mixed numbers
unit fractions
decimal and binary fractions
Standards and regulation
ISO 80000-2 notation
Failure modes and hazards
Adding denominators directly
Rounding errors in conversions
Analytical facets
- substance
- abstract
- origin
- conceptual
- agency
- inert
- mobility
- not-applicable
- scale
- not-applicable
- affordances
- observable
Also called
+41
Where this came from
oewn:2024 · CC BY 4.0
Drafted structure
Bundle to layer to finding to question, as the second pass will find it: 4 bundles · 8 layers · 8 findings · 16 questions.
Form Which fraction.
Forms differ.
Type
Proper or improper.
Type
Fraction type.
- Is it a proper, improper or mixed fraction? definition
- How can it be rewritten? action
Simplify
Lowest terms.
Simplify
Simplification.
- What is the fraction in lowest terms? measurement
- Which common divisor was used? definition
Operations Arithmetic.
Rules must be followed.
Add
Common denominators.
Add
Addition and subtraction.
- What is the result of adding or subtracting these fractions? measurement
- Was a common denominator found? boundary
Multiply
Multiply and divide.
Multiply
Multiplication and division.
- What is the product or quotient? measurement
- Was the divisor inverted correctly? boundary
Conversion Decimals and percents.
Conversions help comparison.
Decimal
Conversion.
Decimal
Decimal conversion.
- What is the fraction as a decimal or percentage? measurement
- Does the decimal repeat? definition
Compare
Ordering.
Compare
Comparison.
- Which fraction is larger? measurement
- How can they be compared quickly? action
Learning Teaching.
Visual models help.
Models
Visuals.
Models
Visual models.
- Which visual models help learners understand fractions? action
- Which misconceptions are common? boundary
Senses
Disambiguation.
Senses
Other senses.
- Is a chemical fraction or a small portion in general meant? boundary
- Which entry fits? action
What the second pass must settle
- Should fraction types be separate entries?
- How should teaching resources be linked?
- How should other senses be split off?