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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    Thus the fraction ⁠ 3 / 4 ⁠ can be used to represent the ratio 3:4 (the ratio of the part to the whole), and the division 3 ÷ 4 (three divided by four). We can also write negative fractions, which represent the opposite of a positive fraction. For example, if ⁠ 1 / 2 ⁠ represents a half-dollar profit, then − ⁠ 1 / 2 ⁠ represents ...

  3. 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]

  4. Counting rods - Wikipedia

    en.wikipedia.org/wiki/Counting_rods

    The Nine Chapters on the Mathematical Art, which was mainly composed in the first century CE, stated "(when using subtraction) subtract same signed numbers, add different signed numbers, subtract a positive number from zero to make a negative number, and subtract a negative number from zero to make a positive number".

  5. Dimensional analysis - Wikipedia

    en.wikipedia.org/wiki/Dimensional_analysis

    In engineering and science, dimensional analysis is the analysis of the relationships between different physical quantities by identifying their base quantities (such as length, mass, time, and electric current) and units of measurement (such as metres and grams) and tracking these dimensions as calculations or comparisons are performed.

  6. Mathematics education - Wikipedia

    en.wikipedia.org/wiki/Mathematics_education

    For example, the division of a board into thirds can be accomplished with a piece of string, instead of measuring the length and using the arithmetic operation of division. [ 7 ] The first mathematics textbooks to be written in English and French were published by Robert Recorde , beginning with The Grounde of Artes in 1543.

  7. Mediant (mathematics) - Wikipedia

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

    However, if the fraction 1/1 is replaced by the fraction 2/2, which is an equivalent fraction denoting the same rational number 1, the mediant of the fractions 2/2 and 1/2 is 3/4. For a stronger connection to rational numbers the fractions may be required to be reduced to lowest terms , thereby selecting unique representatives from the ...