6/4 simplified

Simplifying the Fraction 6/4

Introduction

In this article, we will explore the concept of simplifying fractions and apply it to the specific problem of simplifying the fraction 6/4. We will provide a step-by-step solution to the problem and explain the method used to find the greatest common divisor (GCD) or highest common factor (HCF) of the numerator and denominator. Additionally, we will provide solved examples related to simplifying fractions to further illustrate the concept.

What does the question mean?

The question "What is the answer to 6/4 simplified?" is asking us to simplify the fraction 6/4 to its simplest form. Simplifying a fraction involves dividing both the numerator and denominator by their greatest common divisor (GCD) or highest common factor (HCF) to obtain a reduced fraction.

Answer to 6/4 simplified

The answer to 6/4 simplified is 3/2.

Method: Tips

To simplify a fraction, 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 the fraction 6/4:

Step 1: Find the GCD (or HCF) of 6 and 4. The factors of 6 are 1, 2, 3, and 6. The factors of 4 are 1, 2, and 4. The common factors of 6 and 4 are 1 and 2. Therefore, the GCD (or HCF) of 6 and 4 is 2.

Step 2: Divide both the numerator and denominator by the GCD. Dividing 6 by 2 gives us 3. Dividing 4 by 2 gives us 2.

Step 3: The simplified fraction is 3/2.

Solved examples related to 6/4 simplified

Example 1: Simplify the fraction 12/8. Solution: Step 1: The GCD (or HCF) of 12 and 8 is 4. Step 2: Dividing 12 by 4 gives us 3. Dividing 8 by 4 gives us 2. Step 3: The simplified fraction is 3/2.

Example 2: Simplify the fraction 15/10. Solution: Step 1: The GCD (or HCF) of 15 and 10 is 5. Step 2: Dividing 15 by 5 gives us 3. Dividing 10 by 5 gives us 2. Step 3: The simplified fraction is 3/2.

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 (or HCF) of 12 and 8: The factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 8 are 1, 2, 4, and 8. The common factors of 12 and 8 are 1, 2, and 4. Therefore, the GCD (or HCF) of 12 and 8 is 4.

Conclusion

Simplifying fractions involves dividing both the numerator and denominator by their GCD (or HCF) to obtain a reduced fraction. In the case of 6/4, the simplified form is 3/2. By following the step-by-step solution and understanding how to find the GCD (or HCF), you can simplify fractions effectively.