When reducing fractions, what is the next step after dividing both the numerator and denominator by their greatest common factor?

When reducing fractions, the correct action after dividing both the numerator and denominator by their greatest common factor is to write the fraction in lowest terms. This process involves simplifying the fraction so that the numerator and denominator have no common factors other than one.

By identifying and utilizing the greatest common factor (GCF), you ensure that the fraction is simplified as much as possible. For example, if you have the fraction 8/12, the GCF is 4. Dividing both the numerator and denominator by 4 gives you 2/3, which is the fraction in its lowest terms. Thus, the final result reflects the simplest form of the fraction, maintaining its value.

The other options do not align with this process. Dividing both terms does not involve multiplication, and leaving the terms unchanged would defeat the purpose of reducing the fraction. Adding fractions would be relevant in a different context but is not a step in reducing an individual fraction.