common fraction

mathematics

Also known as: simple fraction

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June 24, 2026

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A common fraction, also known as a vulgar fraction, is a number expressed as a quotient where both the numerator and denominator are integers. These integers are separated by a horizontal or slanted line. In arithmetic, a fraction represents a part of a whole.21

There are different types of fractions:
* Proper fraction: The numerator is less than the denominator.1
* Improper fraction: The numerator is greater than or equal to the denominator. This can be expressed as a mixed number, which includes a whole number and a proper fraction.1

Fractions can be converted to decimal form by dividing the numerator by the denominator.1

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$A page from a first-grade workbook typical of “new math” might state: “Draw connecting lines from triangles in the first set to triangles in the second set. Are the two sets equivalent in number?”$
arithmetic
Rational numbers
…n/d and is called a common fraction. It may be considered as the quotient of n divided by d. The number d is called the denominator (it determines the fractional unit or denomination), and n is called the numerator (it enumerates the number of fractional units that are taken). The…
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…n/d and is called a common fraction. It may be considered as the quotient of n divided by d. The number d is called the denominator (it determines the fractional unit or denomination), and n is called the numerator (it enumerates the number of fractional units that are taken). The…
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Euclidean algorithm
…is useful for reducing a common fraction to lowest terms. For example, the algorithm will show that the GCD of 765 and 714 is 51, and therefore 765/714 = 15/14. It also has a number of uses in more advanced mathematics. For example, it is the basic tool used to…
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…is useful for reducing a common fraction to lowest terms. For example, the algorithm will show that the GCD of 765 and 714 is 51, and therefore 765/714 = 15/14. It also has a number of uses in more advanced mathematics. For example, it is the basic tool used to…
Read More