Simplifying the Fraction 1527
In this article, we will explore how to simplify the fraction 1527 to its simplest form.
The Original Fraction
The original fraction is: $\frac{15}{27}$
Simplifying the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator (15) and the denominator (27).
Finding the Greatest Common Divisor (GCD)
To find the GCD of 15 and 27, we can use the following steps:
- List the factors of 15: 1, 3, 5, 15
- List the factors of 27: 1, 3, 9, 27
- Identify the common factors: 1, 3
- The greatest common factor is 3
Simplifying the Fraction
Now that we have found the GCD, we can simplify the fraction by dividing both the numerator and the denominator by 3:
$\frac{15 \div 3}{27 \div 3} = \frac{5}{9}$
The Simplified Fraction
The simplified fraction is: $\frac{5}{9}$
Therefore, the simplest form of the fraction 1527 is 59.
