In this article, we will explore how to simplify the fraction 6/16. Simplifying a fraction involves finding the greatest common divisor (GCD) or highest common factor (HCF) of the numerator and denominator and dividing both by this common factor. By doing so, we obtain a reduced fraction that represents the same value as the original fraction but with smaller numbers.
The simplified form of 6/16 is 3/8.
To simplify a fraction, follow these steps:
Now, let's apply the method to simplify 6/16:
Step 1: Find the GCD or HCF of 6 and 16. The factors of 6 are 1, 2, 3, and 6. The factors of 16 are 1, 2, 4, 8, and 16. The common factors of 6 and 16 are 1 and 2. Therefore, the GCD or HCF of 6 and 16 is 2.
Step 2: Divide both the numerator and denominator by the GCD. Dividing 6 by 2 gives us 3. Dividing 16 by 2 gives us 8.
Step 3: The simplified fraction is 3/8.
Example 1: Simplify 6/16. Solution: Following the steps mentioned above, we find that the simplified form of 6/16 is 3/8.
Example 2: Simplify 12/24. Solution: Step 1: The GCD or HCF of 12 and 24 is 12. Step 2: Dividing 12 by 12 gives us 1. Dividing 24 by 12 gives us 2. Step 3: The simplified fraction is 1/2.
To find the GCD or HCF of two numbers, follow these steps:
For example, to find the GCD of 6 and 16: The factors of 6 are 1, 2, 3, and 6. The factors of 16 are 1, 2, 4, 8, and 16. The common factors are 1 and 2. Therefore, the GCD or HCF of 6 and 16 is 2.
Simplifying fractions is a fundamental concept in mathematics. By finding the GCD or HCF of the numerator and denominator and dividing both by this common factor, we can obtain a reduced fraction. In the case of 6/16, the simplified form is 3/8. Remember to follow the step-by-step solution and use the GCD or HCF to simplify fractions accurately.