Category:Reducible Fractions

This category contains results about Reducible Fractions.
Definitions specific to this category can be found in Definitions/Reducible Fractions.

Let $q = \dfrac a b$ be a vulgar fraction.

Then $q$ is defined as being reducible if and only if $q$ is not in canonical form.

That is, if and only if there exists $r \in \Z: r \ne 1$ such that $r$ is a divisor of both $a$ and $b$.

Such a fraction can therefore be reduced by dividing both $a$ and $b$ by $r$.