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2. Algebraic fraction - Wikipedia

   en.wikipedia.org/wiki/Algebraic_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 expression. An integral expression can always be written in fractional form by giving it the denominator 1.

3. Fraction - Wikipedia

   en.wikipedia.org/wiki/Fraction

   If the numerator and the denominator are polynomials, as in ⁠ + ⁠, the algebraic fraction is called a rational fraction (or rational expression). 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 ...

4. Lowest common denominator - Wikipedia

   en.wikipedia.org/wiki/Lowest_common_denominator

   For example, the numerators of fractions with common denominators can simply be added, such that + = and that <, since each fraction has the common denominator 12. Without computing a common denominator, it is not obvious as to what 5 12 + 11 18 {\displaystyle {\frac {5}{12}}+{\frac {11}{18}}} equals, or whether 5 12 {\displaystyle {\frac {5 ...

5. 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.

6. Simplification - Wikipedia

   en.wikipedia.org/wiki/Simplification

   Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter), according to a well-founded ordering. Examples include: Simplification of algebraic expressions, in computer algebra; Simplification of boolean expressions i.e. logic optimization

7. Irreducible fraction - Wikipedia

   en.wikipedia.org/wiki/Irreducible_fraction

   For example, ⁠ 1 / 4 ⁠, ⁠ 5 / 6 ⁠, and ⁠ −101 / 100 ⁠ are all irreducible fractions. On the other hand, ⁠ 2 / 4 ⁠ is reducible since it is equal in value to ⁠ 1 / 2 ⁠, and the numerator of ⁠ 1 / 2 ⁠ is less than the numerator of ⁠ 2 / 4 ⁠. A fraction that is reducible can be reduced by dividing both the numerator ...

8. Algebraic expression - Wikipedia

   en.wikipedia.org/wiki/Algebraic_expression

   where the second term is a proper rational fraction. 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,

9. Cross-multiplication - Wikipedia

   en.wikipedia.org/wiki/Cross-multiplication

   In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.