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Everything about Fraction

Ratio of two numbers

A fraction 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 consists of an integer numerator, displayed above a line, and a non-zero integer denominator, displayed below 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 ⁠3/4⁠, 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 ⁠3/4⁠ of a cake. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: FractionA 5-minute orientation
  2. Skim a recent paper: Semaglutide in Patients with Heart Failure with Preserved Ejection Fraction and ObesityInfluential work since 2022
  3. Pick up a classic book: Mathematics Plus (Maths Plus)The most-reprinted book on the subject
  4. Read the landmark paper: Dapagliflozin in Patients with Heart Failure and Reduced Ejection FractionCited 6,541 times
  5. Go sideways: Rational numberA closely related topic
  6. Go sideways: Irreducible fractionA closely related topic

📖 Definitions

Noun A part of a whole, especially a comparatively small part.

Noun A ratio of two numbers (numerator and denominator), usually written one above the other and separated by a horizontal bar called the vinculum or, alternatively, in sequence on the same line and separated by a solidus (diagonal bar).

Noun A component of a mixture, separated by fractionation.

Noun In a eucharistic service, the breaking of the host.

🗂️ The subject at a glance

  1. Vocabulary
  2. Forms of fractions
  3. Arithmetic with fractions
  4. Fractions in abstract mathematics
  5. Algebraic fractions
  6. Radical expressions
  7. Typographical variations
  8. History
  9. In formal education

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics