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A fraction is a number that represents a part of a whole or a number of equal parts. The denominator is the number of parts in a whole, and the numerator is the number of parts in a fraction. Learn about different forms, operations and applications of fractions.
Learn how to express a rational fraction as a sum of a polynomial and fractions with simpler denominators. See the basic principles, examples, methods and applications of partial fraction decomposition in algebra and calculus.
Learn the rules and conventions for evaluating mathematical expressions with different operations. The order of operations is also known as PEMDAS, which stands for Parentheses, Exponentiation, Multiplication/Division, Addition/Subtraction.
A ratio shows how many times one number contains another, and can be written as a fraction, a colon, or a percentage. Learn about the origin, terminology, and applications of ratios in mathematics, physics, and other fields.
Learn the definition, terminology and properties of algebraic fractions, which are fractions with algebraic expressions as numerators and denominators. Find out how to rationalize, decompose and simplify algebraic fractions.
A simplex is a generalization of a triangle or tetrahedron to arbitrary dimensions. Learn about the elements, faces, cofaces, and f-vectors of simplices, as well as their regular and standard forms, and how they are used in topology and combinatorics.
Division is one of the four basic operations of arithmetic, which involves calculating the number of times one number is contained within another. Learn about different types, properties, and notations of division, as well as its applications in algebra and other fields.
The factorial number system is a mixed radix numeral system: the i-th digit from the right has base i, which means that the digit must be strictly less than i, and that (taking into account the bases of the less significant digits) its value is to be multiplied by (i − 1)!