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  2. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    An irreducible fraction (or fraction in lowest terms, simplest form 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). [1]

  3. Lowest common denominator - Wikipedia

    en.wikipedia.org/wiki/Lowest_common_denominator

    In mathematics, the lowest common denominator or least ... The lowest common denominator of a set of fractions is the lowest number that ... additional terms may ...

  4. Least common multiple - Wikipedia

    en.wikipedia.org/wiki/Least_common_multiple

    The least common multiple of the denominators of two fractions is the "lowest common denominator" (lcd), and can be used for adding, subtracting or comparing the fractions. The least common multiple of more than two integers a , b , c , . . . , usually denoted by lcm( a , b , c , . . .) , is defined as the smallest positive integer that is ...

  5. Infimum and supremum - Wikipedia

    en.wikipedia.org/wiki/Infimum_and_supremum

    Consequently, the term greatest lower bound (abbreviated as GLB) is also commonly used. [1] The supremum (abbreviated sup ; pl. : suprema ) of a subset S {\displaystyle S} of a partially ordered set P {\displaystyle P} is the least element in P {\displaystyle P} that is greater than or equal to each element of S , {\displaystyle S,} if such an ...

  6. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    In mathematics a rational number is a number that can be represented ... an algebraic fraction is in lowest terms if the only factors common to the numerator and the ...

  7. Upper and lower bounds - Wikipedia

    en.wikipedia.org/wiki/Upper_and_lower_bounds

    The definitions can be generalized to functions and even to sets of functions. Given a function f with domain D and a preordered set (K, ≤) as codomain, an element y of K is an upper bound of f if y ≥ f (x) for each x in D. The upper bound is called sharp if equality holds for at least one value of x. It indicates that the constraint is ...

  8. Cancelling out - Wikipedia

    en.wikipedia.org/wiki/Cancelling_out

    For example, a fraction is put in lowest terms by cancelling out the common factors of the numerator and the denominator. [2] As another example, if a×b=a×c, then the multiplicative term a can be canceled out if a≠0, resulting in the equivalent expression b=c; this is equivalent to dividing through by a.

  9. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Expressed algebraically, for quantities ⁠ a {\displaystyle a} ⁠ and ⁠ b {\displaystyle b} ⁠ with ⁠ a > b > 0 {\displaystyle a>b>0} ⁠ , ⁠ a {\displaystyle a} ⁠ is in a golden ratio to ...