simplify the following ratio please
39:52
show workings please
To simplify the given ratio 39:52, you need to find the greatest common divisor (GCD) of the two numbers and divide both numbers by it.
Step 1: Find the GCD of 39 and 52.
There are several methods to find the GCD, such as prime factorization and the Euclidean algorithm. Let's use the Euclidean algorithm here:
Divide 52 by 39:
52 ÷ 39 = 1 remainder 13
Now divide 39 by 13:
39 ÷ 13 = 3
Since the remainder is now 0, the GCD is 13.
Step 2: Divide both numbers by the GCD (13):
39 ÷ 13 = 3
52 ÷ 13 = 4
Therefore, the simplified ratio is 3:4.