18/63 as a Fraction in Simplest Form
A fraction is considered to be in simplest form if the greatest common divisor (GCD) of its numerator and denominator is 1. In this article, we will explore how to simplify the fraction 18/63 to its simplest form.
The Fraction 18/63
The fraction 18/63 can be written as:
18/63
To simplify this fraction, we need to find the GCD of 18 and 63.
Finding the GCD of 18 and 63
The GCD of 18 and 63 can be found using the following steps:
- List the factors of 18: 1, 2, 3, 6, 9, 18
- List the factors of 63: 1, 3, 7, 9, 21, 63
- Identify the common factors: 1, 3, 9
- The greatest common factor is 9
Simplifying the Fraction
Since the GCD of 18 and 63 is 9, we can divide both the numerator and denominator by 9 to simplify the fraction:
18 ÷ 9 = 2 63 ÷ 9 = 7
So, the simplified fraction is:
2/7
Therefore, the simplest form of the fraction 18/63 is 2/7.
