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2. 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.

3. Algebraic fraction - Wikipedia

   en.wikipedia.org/wiki/Algebraic_fraction

   [2] [3] Rational fractions are also known as rational expressions. A rational fraction () is called proper if ⁡ < ⁡ (), and improper otherwise. For example, the rational fraction is proper, and the rational fractions + + + and + + are improper. Any improper rational fraction can be expressed as the sum of a polynomial (possibly constant ...

4. 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. [1]

5. Algebraic expression - Wikipedia

   en.wikipedia.org/wiki/Algebraic_expression

   The sum of two proper rational fractions is a proper rational fraction as well. The reverse process of expressing a proper rational fraction as the sum of two or more fractions is called resolving it into partial fractions. For example, = + +. Here, the two terms on the right are called partial fractions.

6. Cross-multiplication - Wikipedia

   en.wikipedia.org/wiki/Cross-multiplication

   This is a common procedure in mathematics, used to reduce fractions or calculate a value for a given variable in a fraction. If we have an equation =, where x is a variable we are interested in solving for, we can use cross-multiplication to determine that =.

7. What states passed school choice measures in 2024, and what's ...

   www.aol.com/states-passed-school-choice-measures...

   (The Center Square) – While many states expanded and adopted school choice programs in 2024, some advocates are excited about new education options for families in 2025 – made possible because ...

8. Heaviside cover-up method - Wikipedia

   en.wikipedia.org/wiki/Heaviside_cover-up_method

   When a partial fraction term has a single (i.e. unrepeated) binomial in the denominator, the numerator is a residue of the function defined by the input fraction. We calculate each respective numerator by (1) taking the root of the denominator (i.e. the value of x that makes the denominator zero) and (2) then substituting this root into the ...

9. GOP report: Liz Cheney should be investigated by FBI ... - AOL

   www.aol.com/news/gop-report-liz-cheney...

   “This report reveals that there was not just one single cause for what happened at the U.S. Capitol on January 6; but it was a series of intelligence, security, and leadership failures at ...