Simplifying the Fraction 63/2898

Simplifying fractions is an essential skill in mathematics, as it allows us to express a fraction in its most basic form. In this article, we will walk through the process of simplifying the fraction 63/2898.

Step 1: Find the Greatest Common Factor (GCF)

The first step in simplifying a fraction is to find the greatest common factor (GCF) of the numerator and denominator. The GCF is the largest positive integer that divides both the numerator and denominator without a remainder.

To find the GCF of 63 and 2898, we can use the prime factorization method. Let's start by breaking down each number into its prime factors:

• 63 = 3 × 3 × 7
• 2898 = 2 × 3 × 483

The common prime factors between 63 and 2898 are 3. Therefore, the GCF of 63 and 2898 is 3.

Step 2: Divide the Numerator and Denominator by the GCF

Now that we have found the GCF, we can divide both the numerator and denominator by the GCF to simplify the fraction.

63/2898 = (63 ÷ 3)/(2898 ÷ 3) = 21/966

The fraction 63/2898 has been simplified to 21/966.

Step 3: Check if the Fraction Can Be Simplified Further

To ensure that the fraction is in its simplest form, we should check if the numerator and denominator have any other common factors.

Examining the numerator and denominator of the simplified fraction 21/966, we can see that they do not have any other common factors. Therefore, the fraction 21/966 is in its simplest form.

Conclusion

In summary, to simplify the fraction 63/2898, we followed these steps:

1. Determined the GCF of the numerator and denominator, which is 3.
2. Divided both the numerator and denominator by the GCF to get the simplified fraction 21/966.
3. Verified that the simplified fraction 21/966 is in its simplest form.

By following these steps, we were able to simplify the original fraction 63/2898 to its most basic form.