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  2. The table consisted of 26 unit fraction series of the form 1/n written as sums of other rational numbers. [9] The Akhmim wooden tablet wrote difficult fractions of the form 1/n (specifically, 1/3, 1/7, 1/10, 1/11 and 1/13) in terms of Eye of Horus fractions which were fractions of the form ⁠ 1 / 2 k ⁠ and remainders expressed in terms of a ...

  3. Continued fraction (generalized) - Wikipedia

    en.wikipedia.org/wiki/Continued_fraction...

    For the folded general continued fractions of both expressions, the rate convergence μ = (3 − √ 8) 2 = 17 − √ 288 ≈ 0.02943725, hence ⁠ 1 / μ ⁠ = (3 + √ 8) 2 = 17 + √ 288 ≈ 33.97056, whose common logarithm is 1.531... ≈ ⁠ 26 / 17 ⁠ > ⁠ 3 / 2 ⁠, thus adding at least three digits per two terms. This is because the ...

  4. Egyptian fraction - Wikipedia

    en.wikipedia.org/wiki/Egyptian_fraction

    For instance, Fibonacci represents the fraction8 / 11 ⁠ by splitting the numerator into a sum of two numbers, each of which divides one plus the denominator: ⁠ 8 / 11 ⁠ = ⁠ 6 / 11 ⁠ + ⁠ 2 / 11 ⁠. Fibonacci applies the algebraic identity above to each these two parts, producing the expansion ⁠ 8 / 11 ⁠ = ⁠ 1 / 2 ...

  5. 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 ⁠.

  6. Farey sequence - Wikipedia

    en.wikipedia.org/wiki/Farey_sequence

    In mathematics, the Farey sequence of order n is the sequence of completely reduced fractions, either between 0 and 1, or without this restriction, [a] which when in lowest terms have denominators less than or equal to n, arranged in order of increasing size. With the restricted definition, each Farey sequence starts with the value 0, denoted ...

  7. Division (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Division_(mathematics)

    In terms of partition, 20 / 5 means the size of each of 5 parts into which a set of size 20 is divided. For example, 20 apples divide into five groups of four apples, meaning that "twenty divided by five is equal to four". This is denoted as 20 / 5 = 4, or ⁠ 20 / 5 ⁠ = 4. [2] In the example, 20 is the dividend, 5 is the divisor, and 4 is ...

  8. Babylonian mathematics - Wikipedia

    en.wikipedia.org/wiki/Babylonian_mathematics

    together with a table of reciprocals. Numbers whose only prime factors are 2, 3 or 5 (known as 5-smooth or regular numbers) have finite reciprocals in sexagesimal notation, and tables with extensive lists of these reciprocals have been found. Reciprocals such as 1/7, 1/11, 1/13, etc. do not have finite representations in sexagesimal notation.

  9. Moscow Mathematical Papyrus - Wikipedia

    en.wikipedia.org/wiki/Moscow_Mathematical_Papyrus

    Approximately 5.5 m (18 ft) long and varying between 3.8 and 7.6 cm (1.5 and 3 in) wide, its format was divided by the Soviet Orientalist Vasily Vasilievich Struve [2] in 1930 [3] into 25 problems with solutions. It is a well-known mathematical papyrus, usually referenced together with the Rhind Mathematical Papyrus. The Moscow Mathematical ...

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