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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    In decimal numbers greater than 1 (such as 3.75), the fractional part of the number is expressed by the digits to the right of the decimal (with a value of 0.75 in this case). 3.75 can be written either as an improper fraction, 375/100, or as a mixed number, ⁠3 + 75 / 100 ⁠.

  3. Decimal representation - Wikipedia

    en.wikipedia.org/wiki/Decimal_representation

    Every decimal representation of a rational number can be converted to a fraction by converting it into a sum of the integer, non-repeating, and repeating parts and then converting that sum to a single fraction with a common denominator. For example, to convert. 8.123 {\textstyle \pm 8.123 {\overline {4567}}} to a fraction one notes the lemma:

  4. Rounding - Wikipedia

    en.wikipedia.org/wiki/Rounding

    Approximating an irrational number by a fraction π: 22/7 1-digit-denominator Approximating a rational number by a fraction with smaller denominator 399 / 941 3 / 7 1-digit-denominator Approximating a fraction by a fractional decimal number: 5 / 3 1.6667: 4 decimal places: Approximating a fractional decimal number by one with fewer digits 2.1784

  5. 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 ⁠). However, every number with a terminating decimal representation also ...

  6. 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 ...

  7. Ternary numeral system - Wikipedia

    en.wikipedia.org/wiki/Ternary_numeral_system

    A ternary / ˈtɜːrnəri / numeral system (also called base 3 or trinary[1]) has three as its base. Analogous to a bit, a ternary digit is a trit (tri nary dig it). One trit is equivalent to log 2 3 (about 1.58496) bits of information. Although ternary most often refers to a system in which the three digits are all non–negative numbers ...

  8. Decimal - Wikipedia

    en.wikipedia.org/wiki/Decimal

    An example of a fraction that cannot be represented by a decimal expression (with a finite number of digits) is ⁠ 1 / 3 ⁠, 3 not being a power of 10. More generally, a decimal with n digits after the separator (a point or comma) represents the fraction with denominator 10 n , whose numerator is the integer obtained by removing the separator.

  9. Continued fraction - Wikipedia

    en.wikipedia.org/wiki/Continued_fraction

    For example, 0.84375 has continued fraction [0;1,5,2,2]. Here are all of its best rational approximations. ... Thus, ⁠ 355 / 113 ⁠ is the best rational number ...

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