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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. 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]

  4. 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 ...

  5. 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 =.

  6. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    The notion of irreducible fraction generalizes to the field of fractions of any unique factorization domain: any element of such a field can be written as a fraction in which denominator and numerator are coprime, by dividing both by their greatest common divisor. [7] This applies notably to rational expressions over a field. The irreducible ...

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    Swimming is one of those athletic endeavors that soothes the mind while building muscle in a low-impact, easy-on-the-injuries way. It happens to be a sport that’s ideal for seniors, and once ...

  8. Semaglutide Weight Loss Drug Nausea: 8 Tips for Relieving It

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    2. Eat Smaller, More Frequent Meals. Instead of three main meals, try eating smaller, more frequent meals throughout the day. This can help if nausea is making it hard to feel like eating or if ...

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    Dietary supplements — vitamins, minerals, botanicals and probiotics — are more popular than ever. More than three-quarters of Americans take at least one, according to the Food and Drug ...

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    related to: expanding single brackets and simplifying rational fractions practice exercises
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