In this article, we will explore the process of simplifying the fraction 4/6. 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 its relevance in simplifying fractions.
Before diving into the method, let's first provide the answer to the simplified form of 4/6. The simplified fraction is 2/3.
To simplify a fraction, we follow a systematic approach that involves finding the GCD (or HCF) of the numerator and denominator, dividing both by the GCD, and obtaining the reduced fraction. Let's break down these steps further.
Find the GCD (or HCF) of the numerator and denominator: The GCD (or HCF) is the largest number that divides both the numerator and denominator without leaving a remainder. In our case, the GCD of 4 and 6 is 2.
Divide both the numerator and denominator by the GCD: Divide both 4 and 6 by 2. This yields 2/3.
Reduced fraction: The resulting fraction, 2/3, is the simplified form of 4/6.
Get the answer: Therefore, the answer to 4/6 simplified is 2/3.
Let's explore a couple of examples related to simplifying fractions to solidify our understanding.
Example 1: Simplify the fraction 8/12.
Solution:
Example 2: Simplify the fraction 15/25.
Solution:
To find the GCD (or HCF) of two numbers, you can follow these steps:
By finding the GCD (or HCF), we can simplify fractions effectively.
In conclusion, simplifying fractions involves finding the GCD (or HCF) of the numerator and denominator, dividing both by the GCD, and obtaining the reduced fraction. In the case of 4/6, the simplified form is 2/3. By following the step-by-step solution provided in this article, you can simplify fractions with ease. Remember to find the GCD (or HCF) using the explained method to simplify fractions accurately.