6/24 As A Fraction In Simplest Form

2 min read Jul 27, 2024
6/24 As A Fraction In Simplest Form

6/24 as a Fraction in Simplest Form

What is a Fraction in Simplest Form?

A fraction is said to be in simplest form if the numerator (number of parts being described) and denominator (total number of parts) have no common factors other than 1. In other words, the fraction cannot be reduced further.

Converting 6/24 to Simplest Form

Let's take a look at the fraction 6/24. Can we reduce it further?

Step 1: Find the Greatest Common Divisor (GCD)

To find the GCD of 6 and 24, we need to list the factors of each number:

Factors of 6: 1, 2, 3, 6 Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

The GCD of 6 and 24 is 6.

Step 2: Divide Both Numerator and Denominator by the GCD

Now, we can divide both the numerator and denominator by the GCD:

6 ÷ 6 = 1 24 ÷ 6 = 4

The Simplest Form of 6/24

So, the simplest form of the fraction 6/24 is:

1/4

Therefore, the fraction 6/24 in simplest form is 1/4.

Conclusion

In this article, we have successfully converted the fraction 6/24 to its simplest form, which is 1/4. Remember, the key to finding the simplest form of a fraction is to identify the greatest common divisor of the numerator and denominator and divide both numbers by it.

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