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2. Mental calculation - Wikipedia

   en.wikipedia.org/wiki/Mental_calculation

   The first Mental Calculations World Championship took place in 1998. This event repeats every year and now occurs online. It consists of a range of different tasks such as addition, subtraction, multiplication, division, irrational and exact square roots, cube roots and deeper roots, factorizations, fractions, and calendar dates. [6]

3. Fraction - Wikipedia

   en.wikipedia.org/wiki/Fraction

   Compound fractions, complex fractions, mixed numerals, and decimal expressions (see below) are not common fractions; though, unless irrational, they can be evaluated to a common fraction. A unit fraction is a common fraction with a numerator of 1 (e.g., ⁠ 1 / 7 ⁠).

4. Khan Academy - Wikipedia

   en.wikipedia.org/wiki/Khan_Academy

   Khan Academy is an American ... All resources are available for free to users of the ... (primarily mathematics and language arts) before progressing to grade school. ...

5. 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.

6. 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 ...

7. Partial fractions in complex analysis - Wikipedia

   en.wikipedia.org/wiki/Partial_fractions_in...

   In complex analysis, a partial fraction expansion is a way of writing a meromorphic function as an infinite sum of rational functions and polynomials. When f ( z ) {\displaystyle f(z)} is a rational function, this reduces to the usual method of partial fractions .

8. Periodic continued fraction - Wikipedia

   en.wikipedia.org/wiki/Periodic_continued_fraction

   This article considers only the case of periodic regular continued fractions. In other words, the remainder of this article assumes that all the partial denominators a i (i ≥ 1) are positive integers. The general case, where the partial denominators a i are arbitrary real or complex numbers, is treated in the article convergence problem.

9. Polynomial long division - Wikipedia

   en.wikipedia.org/wiki/Polynomial_long_division

   This pen-and-paper method uses the same algorithm as polynomial long division, but mental calculation is used to determine remainders. This requires less writing, and can therefore be a faster method once mastered. The division is at first written in a similar way as long multiplication with the dividend at the top, and the divisor below it.