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2. 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.

3. Irreducible fraction - Wikipedia

   en.wikipedia.org/wiki/Irreducible_fraction

   In the first step both numbers were divided by 10, which is a factor common to both 120 and 90. In the second step, they were divided by 3. The final result, ⁠ 4 / 3 ⁠, is an irreducible fraction because 4 and 3 have no common factors other than 1.

4. Rational number - Wikipedia

   en.wikipedia.org/wiki/Rational_number

   In mathematics, "rational" is often used as a noun abbreviating "rational number". The adjective rational sometimes means that the coefficients are rational numbers. For example, a rational point is a point with rational coordinates (i.e., a point whose coordinates are rational numbers); a rational matrix is a matrix of rational numbers; a rational polynomial may be a polynomial with rational ...

5. Arithmetic - Wikipedia

   en.wikipedia.org/wiki/Arithmetic

   Rational number arithmetic is the branch of arithmetic that deals with the manipulation of numbers that can be expressed as a ratio of two integers. [93] Most arithmetic operations on rational numbers can be calculated by performing a series of integer arithmetic operations on the numerators and the denominators of the involved numbers.

6. Fraction - Wikipedia

   en.wikipedia.org/wiki/Fraction

   An algebraic fraction whose numerator or denominator, or both, contain a fraction, such as ⁠ + ⁠, is called a complex fraction. The field of rational numbers is the field of fractions of the integers, while the integers themselves are not a field but rather an integral domain.

7. Greedy algorithm for Egyptian fractions - Wikipedia

   en.wikipedia.org/wiki/Greedy_algorithm_for...

   In mathematics, the greedy algorithm for Egyptian fractions is a greedy algorithm, first described by Fibonacci, for transforming rational numbers into Egyptian fractions. An Egyptian fraction is a representation of an irreducible fraction as a sum of distinct unit fractions, such as ⁠ 5 / 6 ⁠ = ⁠ 1 / 2 ⁠ + ⁠ 1 / 3 ⁠.