3300:105

To simplify the ratio \(3300:105\), we can divide both numbers by their greatest common divisor (GCD).

1. First, find the GCD of 3300 and 105.

   • The prime factorization of 3300 is \(2^2 \times 3 \times 5^2 \times 11\).
   • The prime factorization of 105 is \(3 \times 5 \times 7\).

   The common factors are \(3\) and \(5\). The GCD is \(3 \times 5 = 15\).

2. Now, divide both numbers by the GCD:

   • \(3300 ÷ 15 = 220\)
   • \(105 ÷ 15 = 7\)

3. Thus, the simplified ratio is: \[ 220:7 \]

So, \(3300:105\) simplifies to \(220:7\).