Definition:Irreducible Fraction

Definition

A vulgar fraction $q = \dfrac a b$ is irreducible if and only if the numerator $a$ and denominator $b$ are coprime.

Examples

Example: $\tfrac 2 7$

The vulgar fraction $\dfrac 2 7$ is an example of a irreducible fraction.

Also see

• Definition:Reducible Fraction

• Results about irreducible fractions can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): irreducible fraction
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): irreducible fraction