common fraction
Definition
- Noun:
- A fraction expressed as a numerator and a denominator, both of which are integers, separated by a horizontal or diagonal line: A "common fraction" represents the quotient of two integers. It is the standard way of writing a fraction, such as 1/2 or 3/4, as opposed to a decimal fraction (e.g., 0.5).
Examples of Usage
- Noun:
- The answer should be written as a common fraction, not a decimal.
- One-half, written as 1/2, is a simple common fraction.
- To add two common fractions, you must first find a common denominator.
Advanced Usage
- "Vulgar fraction": This is a synonym for "common fraction," though "common fraction" is the more modern and preferred term in most educational contexts.
- In some older textbooks, you might see the term 'vulgar fraction' instead of 'common fraction'.
Variants and Related Words
- Simple fraction: Another term for a common fraction where both the numerator and denominator are integers.
- Proper fraction: A common fraction where the numerator is less than the denominator (e.g., 2/3).
- Improper fraction: A common fraction where the numerator is greater than or equal to the denominator (e.g., 5/4).
- Mixed number: A number consisting of an integer and a proper common fraction (e.g., 1 1/2).
Synonyms
- Vulgar fraction: (Historical/alternative term)
- Simple fraction: (Emphasizes its non-compound nature)
Related Phrases
- "In lowest terms": Refers to a common fraction that has been simplified so that the numerator and denominator share no common factors other than 1.
- Always express your final answer as a common fraction in lowest terms.
Noun
-
the quotient of two integers
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