The problem asks to simplify the fraction $\frac{14}{32}$.

1. Problem Description

The problem asks to simplify the fraction $\frac{14}{32}$.

2. Solution Steps

To simplify the fraction $\frac{14}{32}$, we need to find the greatest common divisor (GCD) of the numerator (14) and the denominator (32).

The factors of 14 are 1, 2, 7, and

1

4. The factors of 32 are 1, 2, 4, 8, 16, and

3

2. The greatest common divisor of 14 and 32 is

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

$\frac{14}{32} = \frac{14 \div 2}{32 \div 2} = \frac{7}{16}$

3. Final Answer

The simplified fraction is $\frac{7}{16}$.