Fraction (mathematics) and Rational number

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Fraction (mathematics) and Rational number

Fraction (mathematics) vs. Rational number

A fraction (from Latin fractus, "broken") represents a part of a whole or, more generally, any number of equal parts. In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.

Addition

Addition (often signified by the plus symbol "+") is one of the four basic operations of arithmetic; the others are subtraction, multiplication and division.

Addition and Fraction (mathematics) · Addition and Rational number · See more »

Coefficient

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series or any expression; it is usually a number, but may be any expression.

Coefficient and Fraction (mathematics) · Coefficient and Rational number · See more »

Continued fraction

In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this other number as the sum of its integer part and another reciprocal, and so on.

Continued fraction and Fraction (mathematics) · Continued fraction and Rational number · See more »

Coprime integers

In number theory, two integers and are said to be relatively prime, mutually prime, or coprime (also written co-prime) if the only positive integer (factor) that divides both of them is 1.

Coprime integers and Fraction (mathematics) · Coprime integers and Rational number · See more »

Decimal

The decimal numeral system (also called base-ten positional numeral system, and occasionally called denary) is the standard system for denoting integer and non-integer numbers.

Decimal and Fraction (mathematics) · Decimal and Rational number · See more »

Divisor

In mathematics, a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible by another integer m if m is a divisor of n; this implies dividing n by m leaves no remainder.

Divisor and Fraction (mathematics) · Divisor and Rational number · See more »

Egyptian fraction

An Egyptian fraction is a finite sum of distinct unit fractions, such as That is, each fraction in the expression has a numerator equal to 1 and a denominator that is a positive integer, and all the denominators differ from each other.

Egyptian fraction and Fraction (mathematics) · Egyptian fraction and Rational number · See more »

Equivalence relation

In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive.

Equivalence relation and Fraction (mathematics) · Equivalence relation and Rational number · See more »

Euclidean algorithm

. EXAMPLES CAN BE FOUND BELOW, E.G., IN THE "Matrix method" SECTION.

Euclidean algorithm and Fraction (mathematics) · Euclidean algorithm and Rational number · See more »

Field (mathematics)

In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.

Field (mathematics) and Fraction (mathematics) · Field (mathematics) and Rational number · See more »

Field of fractions

In abstract algebra, the field of fractions of an integral domain is the smallest field in which it can be embedded.

Field of fractions and Fraction (mathematics) · Field of fractions and Rational number · See more »

Fraction (mathematics)

A fraction (from Latin fractus, "broken") represents a part of a whole or, more generally, any number of equal parts.

Fraction (mathematics) and Fraction (mathematics) · Fraction (mathematics) and Rational number · See more »

Greatest common divisor

In mathematics, the greatest common divisor (gcd) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

Fraction (mathematics) and Greatest common divisor · Greatest common divisor and Rational number · See more »

Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

Fraction (mathematics) and Integer · Integer and Rational number · See more »

Integral domain

In mathematics, and specifically in abstract algebra, an integral domain is a nonzero commutative ring in which the product of any two nonzero elements is nonzero.

Fraction (mathematics) and Integral domain · Integral domain and Rational number · See more »

Irrational number

In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios (or fractions) of integers.

Fraction (mathematics) and Irrational number · Irrational number and Rational number · See more »

Irreducible fraction

An irreducible fraction (or fraction in lowest terms or reduced fraction) is a fraction in which the numerator and denominator are integers that have no other common divisors than 1 (and -1, when negative numbers are considered).

Fraction (mathematics) and Irreducible fraction · Irreducible fraction and Rational number · See more »

Multiplication

Multiplication (often denoted by the cross symbol "×", by a point "⋅", by juxtaposition, or, on computers, by an asterisk "∗") is one of the four elementary mathematical operations of arithmetic; with the others being addition, subtraction and division.

Fraction (mathematics) and Multiplication · Multiplication and Rational number · See more »

Multiplicative inverse

In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1.

Fraction (mathematics) and Multiplicative inverse · Multiplicative inverse and Rational number · See more »

Numerical digit

A numerical digit is a single symbol (such as "2" or "5") used alone, or in combinations (such as "25"), to represent numbers (such as the number 25) according to some positional numeral systems.

Fraction (mathematics) and Numerical digit · Numerical digit and Rational number · See more »

Quotient

In arithmetic, a quotient (from quotiens "how many times", pronounced) is the quantity produced by the division of two numbers.

Fraction (mathematics) and Quotient · Quotient and Rational number · See more »

Ratio

In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second.

Fraction (mathematics) and Ratio · Ratio and Rational number · See more »

Rational function

In mathematics, a rational function is any function which can be defined by a rational fraction, i.e. an algebraic fraction such that both the numerator and the denominator are polynomials.

Fraction (mathematics) and Rational function · Rational function and Rational number · See more »

Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

Fraction (mathematics) and Real number · Rational number and Real number · See more »

Repeating decimal

A repeating or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely-repeated portion is not zero.

Fraction (mathematics) and Repeating decimal · Rational number and Repeating decimal · See more »

Square root of 2

The square root of 2, or the (1/2)th power of 2, written in mathematics as or, is the positive algebraic number that, when multiplied by itself, gives the number 2.

Fraction (mathematics) and Square root of 2 · Rational number and Square root of 2 · See more »