fieldoffractions
nounUK /fiːld əv ˈfrækʃənz/
US /fiːld əv ˈfrækʃənz/
A field of fractions is a way to turn a set of numbers into fractions so you can divide them.
In math class, we learned that the field of fractions of the integers is the rational numbers.
RELATED WORDS
OTHER MEANINGS
2. A mathematical structure built from an integral domain by adding fractions of its elements.
The field of fractions of a polynomial ring gives rational functions.
3. A way to make division possible in a number system that normally cannot divide.
Building the field of fractions lets us divide any two nonzero integers.
4. The smallest field that contains a given integral domain.
Every integral domain sits inside its field of fractions.