To find the simplified ratio of dogs to the total number of animals at the shelter, first calculate the total number of animals:
Total animals = Number of dogs + Number of cats
Total animals = 15 + 12 = 27
Next, the ratio of dogs to total animals is:
Ratio of dogs to total animals = Number of dogs : Total animals
Ratio of dogs to total animals = 15 : 27
Now, we simplify the ratio. We can divide both numbers by their greatest common divisor (GCD). The GCD of 15 and 27 is 3.
So we divide each number by 3:
15 ÷ 3 = 5
27 ÷ 3 = 9
Therefore, the simplified ratio of dogs to total animals is:
5 : 9