2 6 simplified

Simplifying the Fraction 2/6

Introduction

In this article, we will explore the concept of simplifying fractions and apply it to the specific problem of simplifying the fraction 2/6. We will explain what the question means, provide the answer upfront, and then outline the method to solve the problem step by step. Additionally, we will provide solved examples and explain how to find the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) of two numbers.

What does the question mean?

The question "2/6 simplified" is asking us to simplify the fraction 2/6 to its simplest form. A fraction is considered simplified when the numerator and denominator have no common factors other than 1. In other words, we need to find an equivalent fraction with the smallest possible numerator and denominator.

Answer: 2/6 simplified

The simplified form of the fraction 2/6 is 1/3.

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 to simplify the fraction 2/6:

Step 1: Find the GCD of 2 and 6. The factors of 2 are 1 and 2. The factors of 6 are 1, 2, 3, and 6. The GCD of 2 and 6 is 2.

Step 2: Divide both the numerator and denominator by the GCD. 2 ÷ 2 = 1 6 ÷ 2 = 3

Step 3: The simplified fraction is 1/3.

Therefore, the fraction 2/6 simplified to 1/3.

Solved examples related to 2/6 simplified

Example 1: Simplify the fraction 4/12. Solution: Step 1: Find the GCD of 4 and 12. The factors of 4 are 1, 2, and 4. The factors of 12 are 1, 2, 3, 4, 6, and 12. The GCD of 4 and 12 is 4.

Step 2: Divide both the numerator and denominator by the GCD. 4 ÷ 4 = 1 12 ÷ 4 = 3

Step 3: The simplified fraction is 1/3.

Therefore, the fraction 4/12 simplified to 1/3.

Example 2: Simplify the fraction 9/27. Solution: Step 1: Find the GCD of 9 and 27. The factors of 9 are 1, 3, and 9. The factors of 27 are 1, 3, 9, and 27. The GCD of 9 and 27 is 9.

Step 2: Divide both the numerator and denominator by the GCD. 9 ÷ 9 = 1 27 ÷ 9 = 3

Step 3: The simplified fraction is 1/3.

Therefore, the fraction 9/27 simplified to 1/3.

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 12 and 18: The factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 18 are 1, 2, 3, 6, 9, and 18. The common factors are 1, 2, 3, and 6. The largest common factor is 6. Therefore, the GCD of 12 and 18 is 6.

Conclusion

Simplifying fractions involves finding the GCD (or HCF) of the numerator and denominator and dividing both by it. In the case of the fraction 2/6, the simplified form is 1/3. By following the step-by-step solution provided in this article, you can simplify any fraction and express it in its simplest form.