fraction

thumb|A cake with one quarter (one fourth) removed. The remaining three fourths are shown by dotted lines and labeled by the .

AI overview

A fraction represents a part of a whole, like when a cake is divided into equal pieces and you take some of them—for example, three fourths means you have three out of four equal slices. Fractions matter because they help us describe and work with amounts that aren't whole numbers, which comes up constantly in cooking, measurements, money, and many other everyday situations.

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Wikidata facts

Image: Cake fractions.svg

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Commons category: Fractions
Stack Exchange tag: math.stackexchange.com/tags/fractions
TeX string: \frac{}{}

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~45 min read

Article

37 sections

Contents

Vocabulary
Forms of fractions
Simple, common, or vulgar fractions
Proper and improper fractions
Reciprocals and the invisible denominator
Ratios
Decimal fractions and percentages
Mixed numbers
Historical notions
Egyptian fraction
Complex and compound fractions
Arithmetic with fractions
Equivalent fractions
Simplifying (reducing) fractions
Comparing fractions
Addition
Adding unlike quantities
Subtraction
Multiplication
Multiplying a fraction by another fraction
Multiplying a fraction by a whole number
Multiplying mixed numbers
Division
Converting between fractions and decimal notation
Converting repeating digits in decimal notation to fractions
Fractions in abstract mathematics
Algebraic fractions
Radical expressions
Typographical variations
History
In formal education
Primary schools
Documents for teachers
See also
Notes
References
External links

thumb|A cake with one quarter (one fourth) removed. The remaining three fourths are shown by dotted lines and labeled by the .

A fraction (from , "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A simple fraction (examples: and ) consists of an integer numerator, displayed above a line (or before a slash like ), and a non-zero integer denominator, displayed below (or after) that line. If these integers are positive, then the numerator represents a number of equal parts, and the denominator indicates how many of those parts make up a unit or a whole. For example, in the fraction , the numerator 3 indicates that the fraction represents 3 equal parts, and the denominator 4 indicates that 4 parts make up a whole. The picture to the right illustrates of a cake.