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  2. Repeating decimal - Wikipedia

    en.wikipedia.org/wiki/Repeating_decimal

    If the repetend is a zero, this decimal representation is called a terminating decimal rather than a repeating decimal, since the zeros can be omitted and the decimal terminates before these zeros. [1] Every terminating decimal representation can be written as a decimal fraction, a fraction whose denominator is a power of 10 (e.g. 1.585 ...

  3. Decimal - Wikipedia

    en.wikipedia.org/wiki/Decimal

    Decimal fractions also result from the addition of an integer and a fractional part; ... That is, one has a repeating decimal. For example, ⁠ 1 / 81 ...

  4. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    Decimal: 1.618 033 988 749 894 . . . ... It is in fact the simplest form of a continued fraction, ... [81] Books and design

  5. Decimal representation - Wikipedia

    en.wikipedia.org/wiki/Decimal_representation

    Also the converse is true: The decimal expansion of a rational number is either finite, or endlessly repeating. Finite decimal representations can also be seen as a special case of infinite repeating decimal representations. For example, 36 ⁄ 25 = 1.44 = 1.4400000...; the endlessly repeated sequence is the one-digit sequence "0".

  6. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    To change ⁠ 1 / 3 ⁠ to a decimal, divide 1.000... by 3 (" 3 into 1.000... "), and stop when the desired accuracy is obtained, e.g., at 4 decimals with 0.3333. The fraction1 / 4 ⁠ can be written exactly with two decimal digits, while the fraction1 / 3 ⁠ cannot be written exactly as a

  7. Midy's theorem - Wikipedia

    en.wikipedia.org/wiki/Midy's_theorem

    In mathematics, Midy's theorem, named after French mathematician E. Midy, [1] is a statement about the decimal expansion of fractions a/p where p is a prime and a/p has a repeating decimal expansion with an even period (sequence A028416 in the OEIS). If the period of the decimal representation of a/p is 2n, so that

  8. Prime reciprocal magic square - Wikipedia

    en.wikipedia.org/wiki/Prime_reciprocal_magic_square

    1.2 Decimal expansions. ... In decimal, unit fractions ... magic square with maximum period 18 contains a row-and-column total of 81, ...

  9. Unit fraction - Wikipedia

    en.wikipedia.org/wiki/Unit_fraction

    Slices of approximately 1/8 of a pizza. A unit fraction is a positive fraction with one as its numerator, 1/ n. It is the multiplicative inverse (reciprocal) ...