In a large aquaruim, there are 8 catfish and 12 angelfish. What is the ratio of catfish to total of fish in the simplest form?
The total number of fish in the aquarium is 8 + 12 = <<8+12=20>>20 fish.
The ratio of catfish to the total number of fish is 8/20 in simplest form, which is 2/5. Answer: \boxed{\frac{2}{5}}.
To find the ratio of catfish to the total number of fish in the aquarium, follow these steps:
Step 1: Add the number of catfish and angelfish.
The sum of 8 catfish and 12 angelfish is:
8 + 12 = 20
Step 2: Write the ratio in simplest form.
To find the simplest form of the ratio, both numbers in the ratio should have no common factors.
The ratio of catfish to the total number of fish is therefore:
8:20
Step 3: Simplify the ratio.
Divide both numbers by the greatest common divisor (GCD) to simplify the ratio. In this case, the GCD of 8 and 20 is 4.
8 ÷ 4 = 2
20 ÷ 4 = 5
Therefore, the simplified ratio of catfish to the total number of fish is:
2:5
To find the ratio of catfish to the total number of fish in the aquarium, we need to calculate the sum of catfish and angelfish, and then express the ratio in simplest form.
Step 1: Calculate the total number of fish by adding the number of catfish and angelfish.
Total number of fish = Number of catfish + Number of angelfish
Total number of fish = 8 catfish + 12 angelfish
Total number of fish = 20 fish
Step 2: Express the ratio of catfish to the total number of fish.
Ratio = Number of catfish : Total number of fish
Ratio = 8 : 20
Step 3: Simplify the ratio to its simplest form.
To simplify the ratio, we divide both numbers by their greatest common divisor (GCD). In this case, the GCD of 8 and 20 is 4.
Dividing 8 by 4 gives us 2, and dividing 20 by 4 gives us 5.
Therefore, the simplest form of the ratio is 2:5, which means that for every 2 catfish, there are 5 total fish in the aquarium.