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In mathematics, the mediant of two fractions, generally made up of four positive integers and is defined as That is to say, the numerator and denominator of the mediant are the sums of the numerators and denominators of the given fractions, respectively. It is sometimes called the freshman sum, as it is a common mistake in the early stages of learning about addition of fractions. The Stern-Brocot tree provides an enumeration of all positive rational numbers via mediants in lowest terms, obtained purely by iterative computation of the mediant according to a simple algorithm.

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  • Fracció mediant
  • Mediant (mathematics)
  • Mediante (matemáticas)
  • 가비의 리
  • Медианта (математика)
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  • En matemàtiques, la fracció mediant de dues fraccions and (on c > 0, d > 0) és El numerador i el denominador de la fracció mediant són la suma dels numeradors i els denominadors de les fraccions donades, respectivament. L'arbre de Stern-Brocot enumera tots els nombres racionals positius, representats per la seva fracció irreduïble, mitjançant la computació iterativa de la mediant d'acord amb un algorisme simple.
  • En matemáticas, el mediante de dos fracciones y (con c > 0, d > 0) es​ El numerador y el denominador de la fracción mediante son la suma de los numeradores y los denominadores de las fracciones dadas, respectivamente. El árbol de Stern-Brocot enumera todos los números racionales positivos, representados por su fracción irreducible, mediante la computación iterativa de la mediante de acuerdo con un algoritmo simple.[cita requerida]
  • 가비의 리(加比의理, 표준어: 가비의 이)란 두 쌍 이상의 수의 비가 서로 같을 때, 비례식의 왼쪽 항들의 합과 오른쪽 항들의 합도 다시 그 비율이 된다는 정리이다. 즉, (A, B, C 가 0이 아닐때)(A+B+C가 0이 아닐때) 이다.
  • Медиантой двух дробей и с положительными знаменателями называется дробь, числитель которой равен сумме числителей, а знаменатель — сумме знаменателей двух данных дробей:
  • In mathematics, the mediant of two fractions, generally made up of four positive integers and is defined as That is to say, the numerator and denominator of the mediant are the sums of the numerators and denominators of the given fractions, respectively. It is sometimes called the freshman sum, as it is a common mistake in the early stages of learning about addition of fractions. The Stern-Brocot tree provides an enumeration of all positive rational numbers via mediants in lowest terms, obtained purely by iterative computation of the mediant according to a simple algorithm.
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  • En matemàtiques, la fracció mediant de dues fraccions and (on c > 0, d > 0) és El numerador i el denominador de la fracció mediant són la suma dels numeradors i els denominadors de les fraccions donades, respectivament. L'arbre de Stern-Brocot enumera tots els nombres racionals positius, representats per la seva fracció irreduïble, mitjançant la computació iterativa de la mediant d'acord amb un algorisme simple.
  • In mathematics, the mediant of two fractions, generally made up of four positive integers and is defined as That is to say, the numerator and denominator of the mediant are the sums of the numerators and denominators of the given fractions, respectively. It is sometimes called the freshman sum, as it is a common mistake in the early stages of learning about addition of fractions. Technically, this is a binary operation on valid fractions (nonzero denominator), considered as ordered pairs of appropriate integers, a priori disregarding the perspective on rational numbers as equivalence classes of fractions. For example, the mediant of the fractions 1/1 and 1/2 is 2/3. However, if the fraction 1/1 is replaced by the fraction 2/2, which is an equivalent fraction denoting the same rational number 1, the mediant of the fractions 2/2 and 1/2 is 3/4. For a stronger connection to rational numbers the fractions may be required to be reduced to lowest terms, thereby selecting unique representatives from the respective equivalence classes. The Stern-Brocot tree provides an enumeration of all positive rational numbers via mediants in lowest terms, obtained purely by iterative computation of the mediant according to a simple algorithm.
  • En matemáticas, el mediante de dos fracciones y (con c > 0, d > 0) es​ El numerador y el denominador de la fracción mediante son la suma de los numeradores y los denominadores de las fracciones dadas, respectivamente. El árbol de Stern-Brocot enumera todos los números racionales positivos, representados por su fracción irreducible, mediante la computación iterativa de la mediante de acuerdo con un algoritmo simple.[cita requerida]
  • 가비의 리(加比의理, 표준어: 가비의 이)란 두 쌍 이상의 수의 비가 서로 같을 때, 비례식의 왼쪽 항들의 합과 오른쪽 항들의 합도 다시 그 비율이 된다는 정리이다. 즉, (A, B, C 가 0이 아닐때)(A+B+C가 0이 아닐때) 이다.
  • Медиантой двух дробей и с положительными знаменателями называется дробь, числитель которой равен сумме числителей, а знаменатель — сумме знаменателей двух данных дробей:
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