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  2. Lowest common denominator - Wikipedia

    en.wikipedia.org/wiki/Lowest_common_denominator

    It is usually easiest to add, subtract, or compare fractions when each is expressed with the same denominator, called a "common denominator". For example, the numerators of fractions with common denominators can simply be added, such that + = and that <, since each fraction has the common denominator 12.

  3. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    As with other fractions, the denominator (b) cannot be zero. Examples include ⁠ 1 / 2 ⁠, − ⁠ 8 / 5 ⁠, ⁠ −8 / 5 ⁠, and ⁠ 8 / −5 ⁠. The term was originally used to distinguish this type of fraction from the sexagesimal fraction used in astronomy. [10] Common fractions can be positive or negative, and they can be proper or ...

  4. Clearing denominators - Wikipedia

    en.wikipedia.org/wiki/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.

  5. 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 ...

  6. Egyptian fraction - Wikipedia

    en.wikipedia.org/wiki/Egyptian_fraction

    The Rhind Mathematical Papyrus. An Egyptian fraction is a finite sum of distinct unit fractions, such as + +. That is, each fraction in the expression has a numerator equal to 1 and a denominator that is a positive integer, and all the denominators differ from each other.

  7. Dyadic rational - Wikipedia

    en.wikipedia.org/wiki/Dyadic_rational

    In mathematics, a dyadic rational or binary rational is a number that can be expressed as a fraction whose denominator is a power of two. For example, 1/2, 3/2, and 3/8 are dyadic rationals, but 1/3 is not. These numbers are important in computer science because they are the only ones with finite binary representations. Dyadic rationals also ...

  8. Simple continued fraction - Wikipedia

    en.wikipedia.org/wiki/Simple_continued_fraction

    This rational will be best in the sense that no other rational in (x, y) will have a smaller numerator or a smaller denominator. [14] [15] If x is rational, it will have two continued fraction representations that are finite, x 1 and x 2, and similarly a rational y will have two representations, y 1 and y 2.

  9. Continued fraction - Wikipedia

    en.wikipedia.org/wiki/Continued_fraction

    Continued fractions can also be applied to problems in number theory, and are especially useful in the study of Diophantine equations. In the late eighteenth century Lagrange used continued fractions to construct the general solution of Pell's equation, thus answering a question that had fascinated mathematicians for more than a thousand years. [9]