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2. Fraction - Wikipedia

   en.wikipedia.org/wiki/Fraction

   The reciprocal of a proper fraction is improper, and the reciprocal of an improper fraction not equal to 1 (that is, numerator and denominator are not equal) is a proper fraction. When the numerator and denominator of a fraction are equal (for example, ⁠ 7 / 7 ⁠), its value is 1, and the fraction therefore is improper. Its reciprocal is ...

3. List of types of numbers - Wikipedia

   en.wikipedia.org/wiki/List_of_types_of_numbers

   Fractions: A representation of a non-integer as a ratio of two integers. These include improper fractions as well as mixed numbers . Continued fraction : 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 of ...

4. Improper fraction - Wikipedia

   en.wikipedia.org/?title=Improper_fraction&...

   This page was last edited on 23 June 2020, at 13:36 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may ...

5. Irreducible fraction - Wikipedia

   en.wikipedia.org/wiki/Irreducible_fraction

   An equivalent definition is sometimes useful: if a and b are integers, then the fraction ⁠ a / b ⁠ is irreducible if and only if there is no other equal fraction ⁠ c / d ⁠ such that | c | < | a | or | d | < | b |, where | a | means the absolute value of a. [4] (Two fractions ⁠ a / b ⁠ and ⁠ c / d ⁠ are equal or equivalent if and ...

6. Algebraic expression - Wikipedia

   en.wikipedia.org/wiki/Algebraic_expression

   The process of transforming an irrational fraction to a rational fraction is known as rationalization. Every irrational fraction in which the radicals are monomials may be rationalized by finding the least common multiple of the indices of the roots, and substituting the variable for another variable with the least common multiple as exponent.

7. Algebraic fraction - Wikipedia

   en.wikipedia.org/wiki/Algebraic_fraction

   A complex fraction is a fraction whose numerator or denominator, or both, contains a fraction. A simple fraction contains no fraction either in its numerator or its denominator. A fraction is in lowest terms if the only factor common to the numerator and the denominator is 1. An expression which is not in fractional form is an integral ...

8. Partial fraction decomposition - Wikipedia

   en.wikipedia.org/wiki/Partial_fraction_decomposition

   In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the denominator are both polynomials) is an operation that consists of expressing the fraction as a sum of a polynomial (possibly zero) and one or several fractions with a simpler denominator.

9. Glossary of mathematical jargon - Wikipedia

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

   In a fraction, the numerator is occasionally referred to as upstairs and the denominator downstairs, as in "bringing a term upstairs". up to , modulo, mod out by An extension to mathematical discourse of the notions of modular arithmetic .