To simplify the fractions \( \frac{73}{1080} \) and \( \frac{15}{540} \), we can find their simplest forms.
**1. Simplifying \( \frac{73}{1080} \)**
First, we notice that 73 is a prime number and does not divide into 1080. Hence, \( \frac{73}{1080} \) is already in its simplest form.
**2. Simplifying \( \frac{15}{540} \)**
Next, we simplify \( \frac{15}{540} \). To do this, we find the greatest common divisor (GCD) of 15 and 540.
- The factors of 15: \( 1, 3, 5, 15 \)
- The factors of 540: \( 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540 \)
The GCD of 15 and 540 is 15. Now we can divide both the numerator and the denominator by 15:
\[
\frac{15 \div 15}{540 \div 15} = \frac{1}{36}
\]
So, \( \frac{15}{540} \) simplifies to \( \frac{1}{36} \).
**Summary:**
- \( \frac{73}{1080} \) is in its simplest form.
- \( \frac{15}{540} \) simplifies to \( \frac{1}{36} \).
