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  2. Quintuple meter - Wikipedia

    en.wikipedia.org/wiki/Quintuple_meter

    Simple quintuple meter can be written in 5. 4 or 5. 8 time, but may also be notated by using regularly alternating bars of triple and duple meters, for example 2. 4 + 3. 4. Compound quintuple meter, with each of its five beats divided into three parts, can similarly be notated using a time signature of 15. 8, by writing triplets on each beat of ...

  3. Division (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Division_(mathematics)

    In terms of partition, 20 / 5 means the size of each of 5 parts into which a set of size 20 is divided. For example, 20 apples divide into five groups of four apples, meaning that "twenty divided by five is equal to four". This is denoted as 20 / 5 = 4, or ⁠ 20 / 5 ⁠ = 4. [2] In the example, 20 is the dividend, 5 is the divisor, and 4 is ...

  4. Time signature - Wikipedia

    en.wikipedia.org/wiki/Time_signature

    Paul Desmond's jazz composition "Take Five", in 5 4 time, was one of a number of irregular-meter compositions that The Dave Brubeck Quartet played. They played other compositions in 11 4 ("Eleven Four"), 7 4 ("Unsquare Dance"), and 9 8 ("Blue Rondo à la Turk"), expressed as 2+2+2+3 8. "Blue Rondo à la Turk" is an example of a signature that ...

  5. 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 ⁠.

  6. Continued fraction - Wikipedia

    en.wikipedia.org/wiki/Continued_fraction

    Now, ⁠ 93 / 43 ⁠ = 2 + ⁠ 7 / 43 ⁠; the remaining fractional part, ⁠ 7 / 43 ⁠, is the reciprocal of ⁠ 43 / 7 ⁠, and ⁠ 43 / 7 ⁠ is around 6.1429. Use 6 as an approximation for this to obtain 2 + ⁠ 1 / 6 ⁠ as an approximation for ⁠ 93 / 43 ⁠ and 4 + ⁠ 1 / 2 + ⁠ 1 / 6 ⁠ ⁠ , about 4.4615, as the third approximation.

  7. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    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 of ⁠ 2 / 4 ⁠. A fraction that is reducible can be reduced by dividing both the numerator ...

  8. Fixed-point arithmetic - Wikipedia

    en.wikipedia.org/wiki/Fixed-point_arithmetic

    A fixed-point representation of a fractional number is essentially an integer that is to be implicitly multiplied by a fixed scaling factor. For example, the value 1.23 can be stored in a variable as the integer value 1230 with implicit scaling factor of 1/1000 (meaning that the last 3 decimal digits are implicitly assumed to be a decimal fraction), and the value 1 230 000 can be represented ...

  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 ⁠).

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