Category:Definitions/Reducible Fractions

This category contains definitions related to Reducible Fractions.
Related results can be found in Category: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 $r$.