To simplify the fraction 4/6, you need to find the greatest common divisor (GCD) of the numerator (4) and the denominator (6). The GCD of 4 and 6 is 2. By dividing both the numerator and the denominator by 2, you get:
4 ÷ 2 = 2
6 ÷ 2 = 3
Therefore, the simplified form of 4/6 is 2/3.
Simplifying fractions is an essential skill in mathematics, making calculations easier and clearer. It's important for students and anyone dealing with fractions to understand how to reduce them. Here are some key points about simplifying fractions:
- Always find the GCD first.
- Divide both the numerator and denominator by the GCD.
- The result should be in the simplest form, meaning the numerator and denominator have no common factors other than 1.
Practicing this process will help you gain confidence in handling fractions in various mathematical contexts.