Final answer:
The simplest form of the fraction 4/6 is obtained by dividing both the numerator and the denominator by their greatest common divisor, which is 2, resulting in the simplified fraction 2/3.
Step-by-step explanation:
To simplify the fraction 4/6, we need to find the greatest common divisor (GCD) of the numerator and denominator. The GCD of 4 and 6 is 2. Therefore, we divide both the numerator and the denominator by 2.
Step-by-step simplification:
- Divide 4 by 2 to get 2.
- Divide 6 by 2 to get 3.
- Write the simplified fraction 2/3.
So, the simplest form of the fraction 4/6 is 2/3.