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  2. Repeating decimal - Wikipedia

    en.wikipedia.org/wiki/Repeating_decimal

    In order to convert a rational number represented as a fraction into decimal form, one may use long division. For example, consider the rational number ⁠ 5 / 74 ⁠: 0.0 675 74 ) 5.00000 4.44 560 518 420 370 500 etc. Observe that at each step we have a remainder; the successive remainders displayed above are 56, 42, 50.

  3. Continued fraction - Wikipedia

    en.wikipedia.org/wiki/Continued_fraction

    A finite regular continued fraction, where is a non-negative integer, is an integer, and is a positive integer, for . In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this other number as the sum ...

  4. 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 (for example, ). The set of all rational numbers, also referred to as " the rationals ", 2 the field of ...

  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 ⁠12⁠, − ⁠85⁠, ⁠−85⁠, and ⁠8−5⁠.

  6. Rational function - Wikipedia

    en.wikipedia.org/wiki/Rational_function

    Rational function. In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials. The coefficients of the polynomials need not be rational numbers; they may be taken in any field K.

  7. Practical number - Wikipedia

    en.wikipedia.org/wiki/Practical_number

    Demonstration of the practicality of the number 12. In number theory, a practical number or panarithmic number [1] is a positive integer such that all smaller positive integers can be represented as sums of distinct divisors of . For example, 12 is a practical number because all the numbers from 1 to 11 can be expressed as sums of its divisors ...

  8. Dyadic rational - Wikipedia

    en.wikipedia.org/wiki/Dyadic_rational

    Fraction with denominator a power of two. Dyadic rationals in the interval from 0 to 1. In mathematics, a dyadic rationalor binary rationalis a number that can be expressed as a fractionwhose denominatoris a power of two. For example, 1/2, 3/2, and 3/8 are dyadic rationals, but 1/3 is not. These numbers are important in computer sciencebecause ...

  9. Algebraic fraction - Wikipedia

    en.wikipedia.org/wiki/Algebraic_fraction

    Algebraic fraction. In algebra, an algebraic fraction is a fraction whose numerator and denominator are algebraic expressions. Two examples of algebraic fractions are and . Algebraic fractions are subject to the same laws as arithmetic fractions. A rational fraction is an algebraic fraction whose numerator and denominator are both polynomials.

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