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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a / b or ⁠ ⁠, where a and b are both integers. [9] As with other fractions, the denominator (b) cannot be zero. Examples include ⁠ 1 2 ⁠, − ⁠ 8 5 ⁠, ⁠ −8 5 ⁠, and ⁠ 85 ⁠.

  3. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    Order of operations. In mathematics and computer programming, the order of operations is a collection of rules that reflect conventions about which operations to perform first in order to evaluate a given mathematical expression. These rules are formalized with a ranking of the operations. The rank of an operation is called its precedence, and ...

  4. Lowest common denominator - Wikipedia

    en.wikipedia.org/wiki/Lowest_common_denominator

    Description. The lowest common denominator of a set of fractions is the lowest number that is a multiple of all the denominators: their lowest common multiple. The product of the denominators is always a common denominator, as in: but it is not always the lowest common denominator, as in: Here, 36 is the least common multiple of 12 and 18.

  5. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    Glossary of mathematical symbols. A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various ...

  6. Partial fraction decomposition - Wikipedia

    en.wikipedia.org/wiki/Partial_fraction_decomposition

    In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator. [1]

  7. Clearing denominators - Wikipedia

    en.wikipedia.org/wiki/Clearing_denominators

    Clearing denominators. In mathematics, the method of clearing denominators, also called clearing fractions, is a technique for simplifying an equation equating two expressions that each are a sum of rational expressions – which includes simple fractions.

  8. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    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] In other words, a fraction ⁠a b⁠ is irreducible if and only if a and ...

  9. Quarter-comma meantone - Wikipedia

    en.wikipedia.org/wiki/Quarter-comma_meantone

    The value of 5 18 · 35 1 ⁄ 3 is very close to 4, which is why a 7-limit interval 6144 : 6125 (which is the difference between the 5-limit diesis 128 : 125 and the septimal diesis 49 : 48), equal to 5.362 cents, appears very close to the quarter-comma (⁠ 81 / 80 ⁠) 1 ⁄ 4 of 5.377 cents.

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