What is the ratio in simplest form from 16 to 20
16/20 = 4/5
To find the ratio in simplest form from 16 to 20, we need to determine the greatest common divisor (GCD) or highest common factor of the two numbers. The GCD helps us simplify the ratio to its simplest form.
Step 1: Find the GCD of 16 and 20.
We can use various methods to find the GCD, such as prime factorization or Euclidean algorithm. Let's use the Euclidean algorithm, which involves dividing the larger number by the smaller number repeatedly until the remainder is zero.
Dividing 20 by 16, we get a quotient of 1 and a remainder of 4.
Next, we divide 16 by 4, with no remainder.
Therefore, the GCD of 16 and 20 is 4.
Step 2: Simplify the ratio.
To simplify the ratio, we divide both numbers in the ratio by their GCD.
16 ÷ 4 = 4
20 ÷ 4 = 5
Therefore, the simplified ratio from 16 to 20 is 4:5.