- A vulgar fraction is a rational number written as one integer (the numerator) divided by a non-zero integer (the denominator). The line that separates the numerator and the denominator is called the Vinculum. Sub-categories of vulgar fraction include:
- Irreducible fraction: a vulgar fraction "in lowest terms", where the numerator is an integer, the denominator is a positive integer, and the highest common factor of the numerator and the denominator is 1.
- Proper fraction: A vulgar fraction with a value between zero and one
- Improper fraction: A vulgar fraction with a value greater than 1.
- Unit fraction: A vulgar fraction with a numerator of 1.
- Egyptian fraction: The sum of distinct unit fractions.
- Decimal fraction: A vulgar fraction where the denominator is a power of ten.
- Dyadic fraction: A vulgar fraction in which the denominator is a power of two.
- A Mixed fraction: A mixed fraction is an integer plus a proper fraction.
- An irrational fraction is, if all fractions must be capable of being expressed as a vulgar fraction, a contradiction in terms. An irrational number is, by definition, not rational i.e. it cannot be expressed as a vulgar fraction.
- A continued fraction is an expression such as:
- A compound fraction is a fraction where the numerator or denominator (or both) contain fractions.
- Partial fractions can be used to decompose a rational function.
- In some Christian denominations, the Fraction is the ceremonial act of breaking the bread during Communion.
- Curricula for Teaching about Fractions
- Teaching Fractions: New Methods, New Resources
- Worksheets: Identifying Fractions
- Worksheets: Improper Fractions to Mixed Numbers
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