2/4 simplified

Simplifying 2/4: A Step-by-Step Guide

Introduction

In this article, we will explore the process of simplifying the fraction 2/4. 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 2/4 simplified?

Before diving into the method, let's first provide the answer to the question. The simplified form of 2/4 is 1/2.

Method: Tips

To simplify a fraction, we follow a straightforward method 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. Start by identifying the numerator and denominator of the fraction. In this case, the numerator is 2 and the denominator is 4.
2. Find the GCD (or HCF) of the numerator and denominator. The GCD of 2 and 4 is 2.
3. Divide both the numerator and denominator by the GCD. Dividing 2 by 2 gives us 1, and dividing 4 by 2 gives us 2.
4. The reduced fraction is obtained by placing the new numerator (1) over the new denominator (2). Therefore, the simplified form of 2/4 is 1/2.

Solved Examples

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

Example 1: Simplify the fraction 6/12.

Solution:

1. The numerator is 6 and the denominator is 12.
2. The GCD of 6 and 12 is 6.
3. Dividing 6 by 6 gives us 1, and dividing 12 by 6 gives us 2.
4. Therefore, the simplified form of 6/12 is 1/2.

Example 2: Simplify the fraction 9/27.

Solution:

1. The numerator is 9 and the denominator is 27.
2. The GCD of 9 and 27 is 9.
3. Dividing 9 by 9 gives us 1, and dividing 27 by 9 gives us 3.
4. Hence, the simplified form of 9/27 is 1/3.

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. The GCD (or HCF) is the largest common factor.

For example, to find the GCD of 12 and 18:

1. The factors of 12 are 1, 2, 3, 4, 6, and 12.
2. The factors of 18 are 1, 2, 3, 6, 9, and 18.
3. The common factors are 1, 2, 3, and 6.
4. The largest common factor is 6, so the GCD (or HCF) of 12 and 18 is 6.

Conclusion

Simplifying fractions is a fundamental concept in mathematics. By finding the GCD (or HCF) of the numerator and denominator and dividing both by it, we can obtain the reduced form of a fraction. In the case of 2/4, the simplified form is 1/2. Remember to always simplify fractions whenever possible to make calculations and comparisons easier.