Reducible Fraction
Fraction in which the numerator and the denominator have at least one common integral divisor that is different from one.
Examples
- The fraction [latex]\frac{8}{18}[/latex] 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 [latex]\frac{8}{18}[/latex] is [latex]\frac{4}{9}[/latex].
- The fraction [latex]\frac{8}{12}[/latex] is reducible because the numerator 8 and the denominator 12 have a common integral divisor, which is 4. Once reduced, the fraction [latex]\frac{8}{12}[/latex], 812becomes the fraction [latex]\frac{2}{3}[/latex] which is irreducible.
