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  2. Eastern Arabic numerals - Wikipedia

    en.wikipedia.org/wiki/Eastern_Arabic_numerals

    Negative signs are written to the right of magnitudes, e.g. −٣ (−3). In-line fractions are written with the numerator on the left and the denominator on the right of the fraction slash, e.g. ٢/٧ (2 ⁄ 7). The Arabic decimal separator ٫ (U+066B) or the comma , is used as the decimal mark, as in ٣٫١٤١٥٩٢٦٥٣٥٨ (3.14159265358).

  3. Greedy algorithm for Egyptian fractions - Wikipedia

    en.wikipedia.org/wiki/Greedy_algorithm_for...

    The simplest fraction3 / y ⁠ with a three-term expansion is ⁠ 3 / 7 ⁠. A fraction ⁠ 4 / y ⁠ requires four terms in its greedy expansion if and only if y ≡ 1 or 17 (mod 24), for then the numerator −y mod x of the remaining fraction is 3 and the denominator is 1 (mod 6). The simplest fraction ⁠ 4 / y ⁠ with a four-term ...

  4. Continued fraction - Wikipedia

    en.wikipedia.org/wiki/Continued_fraction

    A continued fraction is a mathematical expression that can be writen as a fraction with a denominator that is a sum that contains another simple or continued fraction. Depending on whether this iteration terminates with a simple fraction or not, the continued fraction is finite or infinite. [1]

  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. 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. Egyptian fraction - Wikipedia

    en.wikipedia.org/wiki/Egyptian_fraction

    An Egyptian fraction is a finite sum of distinct unit fractions, such as That is, each fraction in the expression has a numerator equal to 1 and a denominator that is a positive integer, and all the denominators differ from each other. The value of an expression of this type is a positive rational number ; for instance the Egyptian fraction ...

  8. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    The final result, ⁠ 4 / 3 ⁠, is an irreducible fraction because 4 and 3 have no common factors other than 1. The original fraction could have also been reduced in a single step by using the greatest common divisor of 90 and 120, which is 30. As 120 ÷ 30 = 4, and 90 ÷ 30 = 3, one gets = Which method is faster "by hand" depends on the ...

  9. Long division - Wikipedia

    en.wikipedia.org/wiki/Long_division

    1 2 5 (Explanations) 4)500 1 0 ( 5 - 4 = 1) 2 0 (10 - 8 = 2) 0 (20 - 20 = 0) In Bolivia , Brazil , Paraguay , Venezuela , French-speaking Canada , Colombia , and Peru , the European notation (see below) is used, except that the quotient is not separated by a vertical line, as shown below: