Write the following rate as a simplified fraction. \[ 26 \text { dogs to } 80 \text { cats } \]

Step 1 ：Given the ratio of 26 dogs to 80 cats.

Step 2 ：Find the greatest common divisor (GCD) of 26 and 80, which is 2.

Step 3 ：Divide both numbers by the GCD to simplify the ratio.

Step 4 ：The simplified ratio of dogs to cats is \(\boxed{13:40}\).