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  2. List of conversion factors - Wikipedia

    en.wikipedia.org/wiki/List_of_conversion_factors

    = 5.919 388 020 8 3 × 10 −6 m 3: teaspoon (metric) ≡ 5.0 × 10 −6 m 3: ≡ 5.0 × 10 −6 m 3: teaspoon (US customary) tsp ≡ 1 ⁄ 6 US fl oz = 4.928 921 593 75 × 10 −6 m 3: teaspoon (US food nutrition labeling) tsp ≡ 5 mL [18] = 5 × 10 −6 m 3: timber foot: ≡ 1 cu ft = 0.028 316 846 592 m 3: ton (displacement) ≡ 35 cu ft ...

  3. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    For example, if a car lot had 12 vehicles, of which 2 are white, 6 are red, and; 4 are yellow, then the ratio of red to white to yellow cars is 6 to 2 to 4. The ratio of yellow cars to white cars is 4 to 2 and may be expressed as 4:2 or 2:1. A ratio is often converted to a fraction when it is expressed as a ratio to the whole.

  4. 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 ...

  5. Clearing denominators - Wikipedia

    en.wikipedia.org/wiki/Clearing_denominators

    The simplified equation is not entirely equivalent to the original. For when we substitute y = 0 and z = 0 in the last equation, both sides simplify to 0, so we get 0 = 0, a mathematical truth. But the same substitution applied to the original equation results in x/6 + 0/0 = 1, which is mathematically meaningless.

  6. Number Forms - Wikipedia

    en.wikipedia.org/wiki/Number_Forms

    1 ⁄ 3: 0.333... Vulgar Fraction One Third 2153 8531 ⅔ 23: 0.666... Vulgar Fraction Two Thirds 2154 8532 ⅕ 1 ⁄ 5: 0.2 Vulgar Fraction One Fifth 2155 8533 ⅖ 2 ⁄ 5: 0.4 Vulgar Fraction Two Fifths 2156 8534 ⅗ 3 ⁄ 5: 0.6 Vulgar Fraction Three Fifths 2157 8535 ⅘ 4 ⁄ 5: 0.8 Vulgar Fraction Four Fifths 2158 8536 ⅙ 1 ⁄ 6: 0 ...

  7. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    Two fractions ⁠ a / b ⁠ and ⁠ c / d ⁠ are equal or equivalent if and only if ad = bc.) For example, ⁠ 1 / 4 ⁠, ⁠ 5 / 6 ⁠, and ⁠ −101 / 100 ⁠ are all irreducible fractions. On the other hand, ⁠ 2 / 4 ⁠ is reducible since it is equal in value to ⁠ 1 / 2 ⁠, and the numerator of ⁠ 1 / 2 ⁠ is less than the numerator ...

  8. Continued fraction - 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 ...

  9. Simple continued fraction - Wikipedia

    en.wikipedia.org/wiki/Simple_continued_fraction

    The coefficients beyond the last in any of these representations should be interpreted as +∞; and the best rational will be one of z(x 1, y 1), z(x 1, y 2), z(x 2, y 1), or z(x 2, y 2). For example, the decimal representation 3.1416 could be rounded from any number in the interval [3.14155, 3.14165) .