A reduced fraction is a fraction that is written in its simplest form, where the numerator and denominator have no common factors other than 1. In other words, the numerator and denominator are coprime. A fraction that is reducible can be reduced by dividing both the numerator and denominator by a common factor. It can be fully reduced to lowest terms if both are divided by their greatest common divisor. To find the greatest common divisor, the Euclidean algorithm or prime factorization can be used. Here are the steps to reduce a fraction:

1. Write the factors of the numerator and the denominator.
2. Determine the largest factor that is common between the two.
3. Divide the numerator and denominator by the greatest common factor.

For example, consider the fraction 8/24. The factors of 8 are 1, 2, 4, and 8, and the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The greatest common factor of 8 and 24 is 8. Dividing both the numerator and denominator by 8 gives 1/3, which is the reduced form of 8/24.