Fraction in which the numerator and the denominator have at least one common integral divisor that is different from one.
Examples
- The fraction \(\frac{8}{18}\) is a reducible fraction, because the number 2 is an integral divisor that is common to both 8 and 18. Therefore, the simplified fraction that is equivalent to \(\frac{8}{18}\) is \(\frac{4}{9}\).
- The fraction \(\frac{8}{12}\) is reducible because the numerator 8 and the denominator 12 have a common integral divisor, which is 4. Once reduced, the fraction \(\frac{8}{12}\), 812becomes the fraction \(\frac{2}{3}\) which is irreducible.