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  2. Frog Fractions - Wikipedia

    en.wikipedia.org/wiki/Frog_Fractions

    Years after the events of Frog Fractions, Hop has been impeached and works at a theater production of his original adventure, where he is constantly heckled by an internet troll in the audience named Content-Aware Phil. Disillusioned with his job and fearing he is becoming estranged from his daughter October, the player plays a point-and-click adventure game to help the two sneak out of the ...

  3. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    For example, in the fraction3 / 4 ⁠, the numerator 3 indicates that the fraction represents 3 equal parts, and the denominator 4 indicates that 4 parts make up a whole. The picture to the right illustrates ⁠ 3 / 4 ⁠ of a cake. Fractions can be used to represent ratios and division. [1]

  4. 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.

  5. FRACTRAN - Wikipedia

    en.wikipedia.org/wiki/FRACTRAN

    A FRACTRAN program is an ordered list of positive fractions together with an initial positive integer input n. The program is run by updating the integer n as follows: for the first fraction f in the list for which nf is an integer, replace n by nf; repeat this rule until no fraction in the list produces an integer when multiplied by n, then halt.

  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.

  7. 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]

  8. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    In the second step, they were divided by 3. The final result, ⁠ 4 / 3 ⁠, is an irreducible fraction because 4 and 3 have no common factors other than 1. The original fraction could have also been reduced in a single step by using the greatest common divisor of 90 and 120, which is 30. As 120 ÷ 30 = 4, and 90 ÷ 30 = 3, one gets

  9. Unit fraction - Wikipedia

    en.wikipedia.org/wiki/Unit_fraction

    A unit fraction is a positive fraction with one as its numerator, 1/ n. It is the multiplicative inverse (reciprocal) of the denominator of the fraction, ...