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.
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.
The answer to 6/4 simplified is 3/2.
To simplify a fraction, follow these steps:
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.
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.
To find the GCD (or HCF) of two numbers, follow these steps:
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.
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.