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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    Common fractions can be positive or negative, and they can be proper or improper (see below). Compound fractions, complex fractions, mixed numerals, and decimals (see below) are not common fractions; though, unless irrational, they can be evaluated to a common fraction. A unit fraction is a common fraction with a numerator of 1 (e.g., ⁠ 1 / 7

  3. Farey sequence - Wikipedia

    en.wikipedia.org/wiki/Farey_sequence

    The Farey sequence of order n contains all of the members of the Farey sequences of lower orders. In particular F n contains all of the members of F n−1 and also contains an additional fraction for each number that is less than n and coprime to n. Thus F 6 consists of F 5 together with the fractions ⁠ 1 / 6 ⁠ and ⁠ 5 / 6 ⁠.

  4. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    The order of operations, that is, the order in which the operations in an expression are usually performed, results from a convention adopted throughout mathematics, science, technology and many computer programming languages. It is summarized as: [2] [5] Parentheses; Exponentiation; Multiplication and division; Addition and subtraction

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  6. 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 divisible by ...

  7. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    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. [5] In order to find the greatest common divisor, the Euclidean algorithm or prime factorization can be used. The Euclidean algorithm is ...

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