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.
Before diving into the method, let's first provide the answer to the question. The simplified form of 2/4 is 1/2.
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.
Let's explore a couple of examples related to simplifying fractions to further solidify our understanding.
Example 1: Simplify the fraction 6/12.
Solution:
Example 2: Simplify the fraction 9/27.
Solution:
To find the GCD (or HCF) of two numbers, you can follow these steps:
For example, to find the GCD of 12 and 18:
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.