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  2. 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

  3. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    3.5 Relationship to Fibonacci and Lucas numbers. 3.6 Geometry. 3.6.1 Construction. 3.6.2 Golden angle. ... It is in fact the simplest form of a continued fraction, ...

  4. Empirical formula - Wikipedia

    en.wikipedia.org/wiki/Empirical_formula

    Glucose (C 6 H 12 O 6), ribose (C 5 H 10 O 5), Acetic acid (C 2 H 4 O 2), and formaldehyde (CH 2 O) all have different molecular formulas but the same empirical formula: CH 2 O.This is the actual molecular formula for formaldehyde, but acetic acid has double the number of atoms, ribose has five times the number of atoms, and glucose has six times the number of atoms.

  5. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    3.1 Closed-form expression. ... 3, 5, 8, 13 and 21. The ... The Fibonacci sequence is one of the simplest and earliest known sequences defined by a recurrence ...

  6. Number Forms - Wikipedia

    en.wikipedia.org/wiki/Number_Forms

    35: 0.6 Vulgar Fraction Three Fifths 2157 8535 ⅘ 4 ⁄ 5: 0.8 Vulgar Fraction Four Fifths 2158 8536 ⅙ 1 ⁄ 6: 0.166... Vulgar Fraction One Sixth 2159 8537 ⅚ 5 ⁄ 6: 0.833... Vulgar Fraction Five Sixths 215A 8538 ⅛ 1 ⁄ 8: 0.125 Vulgar Fraction One Eighth 215B 8539 ⅜ 38: 0.375 Vulgar Fraction Three Eighths 215C 8540 ⅝ 5 ...

  7. Sergeant major (card game) - Wikipedia

    en.wikipedia.org/wiki/Sergeant_Major_(card_game)

    3-5-8, also known as sergeant major for its popularity among members of the Royal Air Force, is a trick-taking card game for 3 players, based on whist, using a standard 52 card deck. 3-5-8 may be played as a gambling game, and there are many variations with names like "8-5-3" and "9-5-2" played throughout the world.

  8. Simple continued fraction - Wikipedia

    en.wikipedia.org/wiki/Simple_continued_fraction

    While virtually all real numbers k will eventually have infinitely many convergents ⁠ m / n ⁠ whose distance from k is significantly smaller than this limit, the convergents for φ (i.e., the numbers ⁠ 5 / 3 ⁠, ⁠ 8 / 5 ⁠, ⁠ 13 / 8 ⁠, ⁠ 21 / 13 ⁠, etc.) consistently "toe the boundary", keeping a distance of almost exactly ...

  9. Repeating decimal - Wikipedia

    en.wikipedia.org/wiki/Repeating_decimal

    Every terminating decimal representation can be written as a decimal fraction, a fraction whose denominator is a power of 10 (e.g. 1.585 = ⁠ 1585 / 1000 ⁠); it may also be written as a ratio of the form ⁠ k / 2 n ·5 m ⁠ (e.g. 1.585 = ⁠ 317 / 2 3 ·5 2 ⁠).