1. The problem is to simplify the ratio 3:2. 2. A ratio compares two quantities, here 3 and 2. 3. The ratio 3:2 means for every 3 units of the first quantity, there are 2 units of the second. 4. Since 3 and 2 have no common factors other than 1, the ratio is already in simplest form. 5. Therefore, the simplified ratio is 3:2.