4/6 simplified

Simplifying 4/6: A Step-by-Step Guide

Introduction

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.

What is the answer to 4/6 simplified?

Before diving into the method, let's first provide the answer to the simplified form of 4/6. The simplified fraction is 2/3.

Method: Tips

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.

Step-by-Step Solution

1. 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.

2. Divide both the numerator and denominator by the GCD: Divide both 4 and 6 by 2. This yields 2/3.

3. Reduced fraction: The resulting fraction, 2/3, is the simplified form of 4/6.

4. Get the answer: Therefore, the answer to 4/6 simplified is 2/3.

Solved Examples

Let's explore a couple of examples related to simplifying fractions to solidify our understanding.

Example 1: Simplify the fraction 8/12.

Solution:

1. Find the GCD (or HCF) of 8 and 12. The GCD is 4.
2. Divide both 8 and 12 by 4. This gives us 2/3.
3. The simplified form of 8/12 is 2/3.

Example 2: Simplify the fraction 15/25.

Solution:

1. Find the GCD (or HCF) of 15 and 25. The GCD is 5.
2. Divide both 15 and 25 by 5. This results in 3/5.
3. The simplified form of 15/25 is 3/5.

How to find GCD (or HCF)?

To find the GCD (or HCF) of two numbers, you can follow these steps:

1. List all the factors of both numbers.
2. Identify the common factors shared by both numbers.
3. Determine the largest common factor among them.
4. This largest common factor is the GCD (or HCF) of the given numbers.

By finding the GCD (or HCF), we can simplify fractions effectively.

Conclusion

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.