Write 9:12:15 in its simplest form
divide all the numbers by 3, the GCF
To write 9:12:15 in its simplest form, we need to simplify the ratio between the given numbers.
First, we can simplify the ratio by finding the greatest common divisor (GCD) of the three numbers: 9, 12, and 15.
To find the GCD, we can list the factors of each number and identify the common factors:
Factors of 9: 1, 3, 9
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 15: 1, 3, 5, 15
From the factors above, we can see that the greatest common divisor of 9, 12, and 15 is 3 since it is the highest number that divides evenly into all three numbers.
Next, we divide each of the three numbers by the GCD, which is 3:
9 ÷ 3 = 3
12 ÷ 3 = 4
15 ÷ 3 = 5
Therefore, the simplest form of 9:12:15 is 3:4:5.