What does it mean to simplify a fraction?

To simplify a fraction means to reduce it to its lowest terms, which involves finding the greatest common divisor (GCD) of both the numerator and the denominator and dividing both by that number. This process reduces the fraction to its simplest form, making it easier to understand and work with.

For instance, consider the fraction 8/12. The greatest common divisor of 8 and 12 is 4. By dividing both the numerator and the denominator by 4, the fraction can be simplified to 2/3. This shows how simplification provides a clearer representation of the same quantity.

In contrast, other options suggest actions that do not correctly define simplification: increasing the numerator, multiplying both terms, or adding values does not lead to simplifying the fraction. Simplifying focuses solely on reducing a fraction's components while keeping the value of the fraction the same. Thus, the focus on reducing to the lowest terms captures the essence of simplification accurately.