Simplifying 6/12 can be achieved in one easy step by dividing both the numerator and the denominator by their greatest common divisor, which is 6.
What is Simplifying Fractions?
Simplifying fractions is a mathematical process that reduces a fraction to its simplest form. This process involves dividing both the numerator and the denominator by their greatest common divisor (GCD).
Why Simplify Fractions?
Simplifying fractions makes it easier to work with them in mathematical operations, such as addition, subtraction, multiplication, and division. It also helps to avoid confusion and errors when working with fractions.
The Greatest Common Divisor (GCD)
The greatest common divisor (GCD) is the largest number that divides both the numerator and the denominator of a fraction without leaving a remainder.
How to Find the GCD
There are several methods to find the GCD of two numbers, including:
• Listing the factors of each number and finding the greatest common factor • Using the prime factorization method • Using the Euclidean algorithm
Simplifying 6/12
To simplify 6/12, we need to find the GCD of 6 and 12.
Step 1: Find the GCD
The factors of 6 are 1, 2, 3, and 6. The factors of 12 are 1, 2, 3, 4, 6, and 12. The greatest common factor of 6 and 12 is 6.
Step 2: Divide the Numerator and Denominator by the GCD
Now that we have found the GCD, we can divide both the numerator and the denominator by 6:
6 ÷ 6 = 1 12 ÷ 6 = 2
So, the simplified form of 6/12 is 1/2.
Conclusion: You Got This!
Simplifying fractions is an easy process that can be achieved in one step by dividing both the numerator and the denominator by their greatest common divisor. By following this simple step, you can simplify any fraction and make it easier to work with in mathematical operations.
What is the greatest common divisor (GCD)?
+The greatest common divisor (GCD) is the largest number that divides both the numerator and the denominator of a fraction without leaving a remainder.
Why simplify fractions?
+Simplifying fractions makes it easier to work with them in mathematical operations, such as addition, subtraction, multiplication, and division. It also helps to avoid confusion and errors when working with fractions.
How to simplify 6/12?
+To simplify 6/12, divide both the numerator and the denominator by their greatest common divisor, which is 6. This results in the simplified form 1/2.