In this article, we will explore the process of simplifying the fraction 6/8. We will explain what this question means and provide a step-by-step solution to find the simplified form of the fraction. Additionally, we will discuss the concept of finding the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) and provide examples related to simplifying fractions.
When we are asked to simplify a fraction, it means we need to express it in its simplest form. This involves reducing the fraction to its lowest terms by dividing both the numerator and denominator by their greatest common divisor.
Before diving into the method, let's find the answer to the question. The simplified form of 6/8 is 3/4.
To simplify a fraction, follow these steps:
Now, let's go through the step-by-step solution to simplify 6/8:
Step 1: Find the GCD (or HCF) of 6 and 8.
Step 2: Divide both the numerator and denominator by the GCD.
Step 3: The resulting fraction is 3/4, which is the simplified form of 6/8.
Let's explore a few examples related to simplifying fractions:
Example 1: Simplify 12/16.
Example 2: Simplify 9/27.
To find the GCD (or HCF) of two numbers, follow these steps:
By following these steps, you can determine the GCD (or HCF) of any given numbers.
In conclusion, simplifying a fraction involves expressing it in its simplest form. By finding the GCD (or HCF) of the numerator and denominator and dividing both by this value, we can obtain the simplified fraction. In the case of 6/8, the simplified form is 3/4. By understanding the concept of finding the GCD (or HCF) and following the step-by-step solution, we can simplify any fraction efficiently.