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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a / b or ⁠ ⁠, where a and b are both integers. [ 9] As with other fractions, the denominator ( b) cannot be zero. Examples include ⁠ 1 2 ⁠, − ⁠ 8 5 ⁠, ⁠ −8 5 ⁠, and ⁠ 8 −5 ⁠.

  3. Guess 2/3 of the average - Wikipedia

    en.wikipedia.org/wiki/Guess_2/3_of_the_average

    Guess 2/3 of the average. In game theory, " guess ⁠ 2 3 ⁠ of the average " is a game that explores how a player’s strategic reasoning process takes into account the mental process of others in the game. [ 1] In this game, players simultaneously select a real number between 0 and 100, inclusive. The winner of the game is the player (s) who ...

  4. Duodecimal - Wikipedia

    en.wikipedia.org/wiki/Duodecimal

    The duodecimal system, also known as base twelve or dozenal, is a positional numeral system using twelve as its base.In duodecimal, the number twelve is denoted "10", meaning 1 twelve and 0 units; in the decimal system, this number is instead written as "12" meaning 1 ten and 2 units, and the string "10" means ten.

  5. Pythagorean triple - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_triple

    A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. Such a triple is commonly written (a, b, c), a well-known example is (3, 4, 5). If (a, b, c) is a Pythagorean triple, then so is (ka, kb, kc) for any positive integer k. A triangle whose side lengths are a Pythagorean triple is a right triangle and ...

  6. Repeating decimal - Wikipedia

    en.wikipedia.org/wiki/Repeating_decimal

    For example, in duodecimal, ⁠ 1 / 2 ⁠ = 0.6, ⁠ 1 / 3 ⁠ = 0.4, ⁠ 1 / 4 ⁠ = 0.3 and ⁠ 1 / 6 ⁠ = 0.2 all terminate; ⁠ 1 / 5 ⁠ = 0. 2497 repeats with period length 4, in contrast with the equivalent decimal expansion of 0.2; ⁠ 1 / 7 ⁠ = 0. 186A35 has period 6 in duodecimal, just as it does in decimal.

  7. Fibonacci sequence - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_sequence

    Lucas numbers have L 1 = 1, L 2 = 3, and L n = L n−1 + L n−2. Primefree sequences use the Fibonacci recursion with other starting points to generate sequences in which all numbers are composite. Letting a number be a linear function (other than the sum) of the 2 preceding numbers. The Pell numbers have P n = 2P n−1 + P n−2.

  8. Ratio - Wikipedia

    en.wikipedia.org/wiki/Ratio

    In mathematics, a ratio ( / ˈreɪʃ ( i) oʊ /) shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of lemons to oranges is 6:8 (or 3:4) and the ...

  9. Rational number - Wikipedia

    en.wikipedia.org/wiki/Rational_number

    In mathematics, a rational number is a number that can be expressed as the quotient or fraction ⁠ ⁠ of two integers, a numerator p and a non-zero denominator q. [ 1] For example, ⁠ ⁠ is a rational number, as is every integer (e.g., ). The set of all rational numbers, also referred to as " the rationals ", [ 2] the field of rationals[ 3 ...