Q. Find an equivalent ratio in simplest terms:25:100□ : □
Find GCD of 25 and 100: To find an equivalent ratio in simplest terms, we need to find the greatest common divisor (GCD) of both numbers in the ratio and then divide both numbers by that GCD.First, let's find the GCD of 25 and 100.The factors of 25 are 1, 5, and 25.The factors of 100 are 1, 2, 4, 5, 1001, 1002, 25, 1004, and 100.The greatest common factor they share is 25.
Identify Factors: Now, we divide both terms of the ratio by the GCD to simplify the ratio.Divide 25 by 25 to get 1.Divide 100 by 25 to get 4.So, the simplified ratio is 1:4.