73/1080 15/540

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 \( \frac{1}{36} \).