Simplifying Fractions: 12/24 Reduced to Its Simplest Form
In mathematics, fractions can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this article, we will learn how to simplify the fraction 12/24.
What is the Greatest Common Divisor (GCD) of 12 and 24?
To find the GCD of 12 and 24, we need to list the factors of each number:
Factors of 12: 1, 2, 3, 4, 6, 12 Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
The GCD of 12 and 24 is 12, which means we can divide both the numerator and the denominator by 12.
Simplifying 12/24
Now, let's simplify the fraction 12/24 by dividing both the numerator and the denominator by their GCD, which is 12:
12 ÷ 12 = 1 24 ÷ 12 = 2
So, the simplified form of 12/24 is 1/2.
Conclusion
In conclusion, the fraction 12/24 can be simplified to its simplest form, which is 1/2. This is done by dividing both the numerator and the denominator by their greatest common divisor, which is 12. Understanding how to simplify fractions is an essential skill in mathematics, and it has many practical applications in various fields.
