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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. Time signature - Wikipedia

    en.wikipedia.org/wiki/Time_signature

    Most time signatures consist of two numerals, one stacked above the other: The lower numeral indicates the note value that the signature is counting. This number is always a power of 2 (unless the time signature is irrational), usually 2, 4 or 8, but less often 16 is also used, usually in Baroque music. 2 corresponds to the half note (minim), 4 to the quarter note (crotchet), 8 to the eighth ...

  4. Formulas for generating Pythagorean triples - Wikipedia

    en.wikipedia.org/wiki/Formulas_for_generating...

    Michael Stifel published the following method in 1544. [3] [4] Consider the sequence of mixed numbers,,,, … with = + +.To calculate a Pythagorean triple, take any term of this sequence and convert it to an improper fraction (for mixed number , the corresponding improper fraction is ).

  5. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    An irreducible fraction (or fraction in lowest terms, simplest form or reduced fraction) is a fraction in which the numerator and denominator are integers that have no other common divisors than 1 (and −1, when negative numbers are considered). [ 1] In other words, a fraction ⁠a b⁠ is irreducible if and only if a and b are coprime, that ...

  6. 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 ⁠).

  7. List of Cyberchase episodes - Wikipedia

    en.wikipedia.org/wiki/List_of_Cyberchase_episodes

    However, on April 3, 2013, it was announced on the show's official Facebook page that it would return for a ninth season during the fall. [1] On February 10, 2015, Gilbert Gottfried, the voice of Digit, announced that five new episodes were expected to be broadcast in the latter half of that year as the show's tenth season. [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. Factorial number system - Wikipedia

    en.wikipedia.org/wiki/Factorial_number_system

    The factorial number system is a mixed radix numeral system: the i -th digit from the right has base i, which means that the digit must be strictly less than i, and that (taking into account the bases of the less significant digits) its value is to be multiplied by (i − 1)! (its place value). Radix/Base. 8. 7. 6.