555:234

The ratio \( 555:234 \) can be simplified by dividing both sides by their greatest common divisor (GCD).

First, let's find the GCD of 555 and 234.

1. The prime factorization of 555 is:

   • \( 555 = 5 \times 111 = 5 \times 3 \times 37 \)

2. The prime factorization of 234 is:

   • \( 234 = 2 \times 117 = 2 \times 3 \times 39 = 2 \times 3 \times 3 \times 13 = 2 \times 3^2 \times 13 \)

The common factor in both numbers is \( 3 \).

Now, divide both numbers by their GCD:

• \( 555 \div 3 = 185 \)
• \( 234 \div 3 = 78 \)

Therefore, the simplified ratio is \( 185:78 \).