2/3 simplified

Simplifying 2/3: A Step-by-Step Guide

Introduction

In this article, we will explore the process of simplifying the fraction 2/3. We will explain what this question means and provide a step-by-step solution to find the simplified form of 2/3. 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.

What does this question mean?

When we are asked to simplify a fraction, it means we need to express it in its simplest form. In the case of 2/3, we are looking for an equivalent fraction with the smallest possible numerator and denominator.

Answer: 2/3 simplified

The simplified form of 2/3 is already in its simplest form. Therefore, the answer to 2/3 simplified is 2/3 itself.

Method: Tips

To simplify a fraction, we can follow these steps:

1. Find the GCD (or HCF) of the numerator and denominator.
2. Divide both the numerator and denominator by the GCD.
3. The resulting fraction is the simplified form.

Step-by-step solution

Let's apply the method mentioned above to simplify 2/3:

Step 1: Find the GCD (or HCF) of 2 and 3. The GCD of 2 and 3 is 1 since there are no common factors other than 1.

Step 2: Divide both the numerator and denominator by the GCD. 2 ÷ 1 = 2 3 ÷ 1 = 3

Step 3: The resulting fraction is the simplified form. Therefore, the simplified form of 2/3 is 2/3 itself.

Solved examples related to 2/3 simplified

Example 1: Simplify 4/6. Step 1: Find the GCD (or HCF) of 4 and 6. The GCD of 4 and 6 is 2.

Step 2: Divide both the numerator and denominator by the GCD. 4 ÷ 2 = 2 6 ÷ 2 = 3

Step 3: The resulting fraction is the simplified form. Therefore, 4/6 simplifies to 2/3.

Example 2: Simplify 8/12. Step 1: Find the GCD (or HCF) of 8 and 12. The GCD of 8 and 12 is 4.

Step 2: Divide both the numerator and denominator by the GCD. 8 ÷ 4 = 2 12 ÷ 4 = 3

Step 3: The resulting fraction is the simplified form. Therefore, 8/12 simplifies to 2/3.

How to find GCD (or HCF)?

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

1. List all the factors of both numbers.
2. Identify the common factors.
3. The largest common factor is the GCD (or HCF).

For example, to find the GCD of 8 and 12: Factors of 8: 1, 2, 4, 8 Factors of 12: 1, 2, 3, 4, 6, 12 Common factors: 1, 2, 4 GCD: 4

Conclusion

Simplifying fractions involves expressing them in their simplest form. By finding the GCD (or HCF) of the numerator and denominator and dividing them by it, we can obtain the simplified fraction. In the case of 2/3, it is already in its simplest form. We also discussed the process of finding the GCD (or HCF) and provided examples related to simplifying fractions.