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2. Continued fraction - Wikipedia

   en.wikipedia.org/wiki/Continued_fraction

   A continued fraction is an expression of the form = + + + + + where the a n (n > 0) are the partial numerators, the b n are the partial denominators, and the leading term b 0 is called the integer part of the continued fraction.

3. Fraction - Wikipedia

   en.wikipedia.org/wiki/Fraction

   Thus, it is often useful to convert repeating decimals into fractions. A conventional way to indicate a repeating decimal is to place a bar (known as a vinculum) over the digits that repeat, for example 0. 789 = 0.789789789... For repeating patterns that begin immediately after the decimal point, the result of the conversion is the fraction ...

4. Periodic continued fraction - Wikipedia

   en.wikipedia.org/wiki/Periodic_continued_fraction

   where the repeating block is indicated by dots over its first and last terms. [2] If the initial non-repeating block is not present – that is, if k = -1, a 0 = a m and = [;,, …, ¯], the regular continued fraction x is said to be purely periodic.

5. Balanced ternary - Wikipedia

   en.wikipedia.org/wiki/Balanced_ternary

   The conversion of a repeating balanced ternary number to a fraction is analogous to converting a repeating decimal. For example (because of 111111 bal3 = ( ⁠ 3 6 − 1 / 3 − 1 ⁠ ) dec ):

6. Number Forms - Wikipedia

   en.wikipedia.org/wiki/Number_Forms

   Vulgar Fraction One Seventh 2150 8528 ⅑ 1 ⁄ 9: 0.111... Vulgar Fraction One Ninth 2151 8529 ⅒ 1 ⁄ 10: 0.1 Vulgar Fraction One Tenth 2152 8530 ⅓ 1 ⁄ 3: 0.333... Vulgar Fraction One Third 2153 8531 ⅔ 2 ⁄ 3: 0.666... Vulgar Fraction Two Thirds 2154 8532 ⅕ 1 ⁄ 5: 0.2 Vulgar Fraction One Fifth 2155 8533 ⅖ 2 ⁄ 5: 0.4 Vulgar ...

7. Number - Wikipedia

   en.wikipedia.org/wiki/Number

   Fractions are written as two integers, the numerator and the denominator, with a dividing bar between them. The fraction ⁠ m / n ⁠ represents m parts of a whole divided into n equal parts. Two different fractions may correspond to the same rational number; for example ⁠ 1 / 2 ⁠ and ⁠ 2 / 4 ⁠ are equal, that is:

8. Positional notation - Wikipedia

   en.wikipedia.org/wiki/Positional_notation

   Al Khwarizmi introduced fractions to Islamic countries in the early 9th century; his fraction presentation was similar to the traditional Chinese mathematical fractions from Sunzi Suanjing. [8] This form of fraction with numerator on top and denominator at bottom without a horizontal bar was also used by 10th century Abu'l-Hasan al-Uqlidisi and ...

9. Glossary of mathematical symbols - Wikipedia

   en.wikipedia.org/wiki/Glossary_of_mathematical...

   A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula.