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- Irreducible_fraction abstract "An irreducible fraction (or fraction in lowest terms or reduced fraction) is a fraction in which the numerator and denominator are integers that have no other common divisors than 1 (and -1, when negative numbers are considered). In other words, a fraction a⁄b is irreducible if and only if a and b are coprime, that is, if a and b have a greatest common divisor of 1. In higher mathematics, "irreducible fraction" may also refer to irreducible rational fractions.An equivalent definition is sometimes useful: if a, b are integers, then the fraction a⁄b is irreducible if and only if there is no other equal fraction c⁄d such that |c| < |a| or |d| < |b|, where |a| means the absolute value of a. (Let us recall that to fractions a⁄b and c⁄d are equal or equivalent if and only if ad = bc.)For example, 1⁄4, 5⁄6, and −101⁄100 are all irreducible fractions. On the other hand, 2⁄4 is not irreducible since it is equal in value to 1⁄2, and the numerator of the latter (1) is less than the numerator of the former (2).A fraction that is reducible can be reduced by dividing both the numerator and denominator by a common factor. It can be fully reduced to lowest terms if both are divided by their greatest common divisor. In order to find the greatest common divisor, Euclidean algorithm or prime factorization may be used. Euclidean algorithm is commonly preferred because it allows to reduce fractions with numerators and denominators too large to be easily factored.".
- Irreducible_fraction wikiPageID "14822".
- Irreducible_fraction wikiPageRevisionID "582797722".
- Irreducible_fraction hasPhotoCollection Irreducible_fraction.
- Irreducible_fraction id "ReducedFraction".
- Irreducible_fraction title "Reduced Fraction".
- Irreducible_fraction subject Category:Elementary_arithmetic.
- Irreducible_fraction subject Category:Fractions.
- Irreducible_fraction type Abstraction100002137.
- Irreducible_fraction type Chemical114806838.
- Irreducible_fraction type Fraction114922107.
- Irreducible_fraction type Fractions.
- Irreducible_fraction type Material114580897.
- Irreducible_fraction type Matter100020827.
- Irreducible_fraction type Part113809207.
- Irreducible_fraction type PhysicalEntity100001930.
- Irreducible_fraction type Relation100031921.
- Irreducible_fraction type Substance100019613.
- Irreducible_fraction comment "An irreducible fraction (or fraction in lowest terms or reduced fraction) is a fraction in which the numerator and denominator are integers that have no other common divisors than 1 (and -1, when negative numbers are considered). In other words, a fraction a⁄b is irreducible if and only if a and b are coprime, that is, if a and b have a greatest common divisor of 1.".
- Irreducible_fraction label "Fracción irreducible".
- Irreducible_fraction label "Fraction irréductible".
- Irreducible_fraction label "Frazione ai minimi termini".
- Irreducible_fraction label "Irreducible fraction".
- Irreducible_fraction label "Несократимая дробь".
- Irreducible_fraction label "كسر غير قابل للاختزال".
- Irreducible_fraction label "最简分数".
- Irreducible_fraction sameAs Ανάγωγο_κλάσμα.
- Irreducible_fraction sameAs Fracción_irreducible.
- Irreducible_fraction sameAs Fraction_irréductible.
- Irreducible_fraction sameAs Frazione_ai_minimi_termini.
- Irreducible_fraction sameAs 기약분수.
- Irreducible_fraction sameAs m.03tvl.
- Irreducible_fraction sameAs Q263865.
- Irreducible_fraction sameAs Q263865.
- Irreducible_fraction sameAs Irreducible_fraction.
- Irreducible_fraction wasDerivedFrom Irreducible_fraction?oldid=582797722.
- Irreducible_fraction isPrimaryTopicOf Irreducible_fraction.