The problem is to simplify the fraction $\frac{15}{12}$.

1. Problem Description

The problem is to simplify the fraction $\frac{15}{12}$.

2. Solution Steps

To simplify the fraction $\frac{15}{12}$, we need to find the greatest common divisor (GCD) of the numerator (15) and the denominator (12).

The factors of 15 are 1, 3, 5, and

1

5. The factors of 12 are 1, 2, 3, 4, 6, and

1

2.

The common factors of 15 and 12 are 1 and

3. The greatest common factor (GCD) of 15 and 12 is

3.

Now, we divide both the numerator and the denominator by the GCD (3).

$\frac{15}{12} = \frac{15 \div 3}{12 \div 3} = \frac{5}{4}$

3. Final Answer

The simplified fraction is $\frac{5}{4}$.