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  2. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    An irrational fraction is one that is not rational, as, for example, one that contains the variable under a fractional exponent or root, as in ⁠ + ⁠. The terminology used to describe algebraic fractions is similar to that used for ordinary fractions.

  3. Clearing denominators - Wikipedia

    en.wikipedia.org/wiki/Clearing_denominators

    In mathematics, the method of clearing denominators, also called clearing fractions, is a technique for simplifying an equation equating two expressions that each are a sum of rational expressions – which includes simple fractions.

  4. Exponentiation - Wikipedia

    en.wikipedia.org/wiki/Exponentiation

    In mathematics, exponentiation, denoted b n, is an operation involving two numbers: the base, b, and the exponent or power, n. [1] When n is a positive integer, exponentiation corresponds to repeated multiplication of the base: that is, b n is the product of multiplying n bases: [1] = ⏟.

  5. Arithmetic - Wikipedia

    en.wikipedia.org/wiki/Arithmetic

    One way to calculate exponentiation with a fractional exponent is to perform two separate calculations: one exponentiation using the numerator of the exponent followed by drawing the nth root of the result based on the denominator of the exponent. For example, =. The first operation can be completed using methods like repeated multiplication or ...

  6. Algebraic expression - Wikipedia

    en.wikipedia.org/wiki/Algebraic_expression

    An irrational fraction is one that contains the variable under a fractional exponent. [12] An example of an irrational fraction is / / /. The process of transforming an irrational fraction to a rational fraction is known as rationalization.

  7. Algebraic fraction - Wikipedia

    en.wikipedia.org/wiki/Algebraic_fraction

    An irrational fraction is one that contains the variable under a fractional exponent. [4] An example of an irrational fraction is / / /. The process of transforming an irrational fraction to a rational fraction is known as rationalization.

  8. Algebraic operation - Wikipedia

    en.wikipedia.org/wiki/Algebraic_operation

    Rather than using the ambiguous division sign (÷), [a] division is usually represented with a vinculum, a horizontal line, as in ⁠ 3 / x + 1 ⁠. In plain text and programming languages, a slash (also called a solidus) is used, e.g. 3 / (x + 1). Exponents are usually formatted using superscripts, as in x 2.

  9. 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.