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  2. Number Forms - Wikipedia

    en.wikipedia.org/wiki/Number_Forms

    17: 0.142... Vulgar Fraction One Seventh 2150 8528 ⅑ 1 ⁄ 9: 0.111... Vulgar Fraction One Ninth 2151 8529 ⅒ 1 ⁄ 10: 0.1 Vulgar Fraction One Tenth 2152 8530 ⅓ 13: 0.333... Vulgar Fraction One Third 2153 8531 ⅔ 23: 0.666... Vulgar Fraction Two Thirds 2154 8532 ⅕ 15: 0.2 Vulgar Fraction One Fifth 2155 8533 ⅖ 2 ...

  3. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    6 1 2 1 11 4 5 9. and would be written in modern notation as 6 ⁠ 1 / 4 ⁠, 11 / 5 ⁠, and 2 − ⁠ 1 / 9 ⁠ (i.e., 1 ⁠ 8 / 9 ⁠). The horizontal fraction bar is first attested in the work of Al-Hassār (fl. 1200), [35] a Muslim mathematician from Fez, Morocco, who specialized in Islamic inheritance jurisprudence.

  4. Unit fraction - Wikipedia

    en.wikipedia.org/wiki/Unit_fraction

    The unit fractions are the rational numbers that can be written in the form , where can be any positive natural number. They are thus the multiplicative inverses of the positive integers. When something is divided into n {\displaystyle n} equal parts, each part is a 1 / n {\displaystyle 1/n} fraction of the whole.

  5. Ratio - Wikipedia

    en.wikipedia.org/wiki/Ratio

    As for fractions, the simplest form is considered that in which the numbers in the ratio are the smallest possible integers. Thus, the ratio 40:60 is equivalent in meaning to the ratio 2:3, the latter being obtained from the former by dividing both quantities by 20. Mathematically, we write 40:60 = 2:3, or equivalently 40:60∷2:3.

  6. Continued fraction - Wikipedia

    en.wikipedia.org/wiki/Continued_fraction

    where c 1 = ⁠ 1 / a 1 ⁠, c 2 = ⁠ a 1 / a 2 ⁠, c 3 = ⁠ a 2 / a 1 a 3 ⁠, and in general c n+1 = ⁠ 1 / a n+1 c n ⁠. Second, if none of the partial denominators b i are zero we can use a similar procedure to choose another sequence { d i } to make each partial denominator a 1:

  7. One half - Wikipedia

    en.wikipedia.org/wiki/One_half

    One half is the rational number that lies midway between 0 and 1 on the number line. Multiplication by one half is equivalent to division by two, or "halving"; conversely, division by one half is equivalent to multiplication by two, or "doubling". A square of side length one, here dissected into rectangles whose areas are successive powers of ...

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  9. 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 ...