In simplifying ratios, one must find the LCM (Least Common Multiple) first. To do this, create a list of factors that apply for all three numbers.
Factors for 75: 1, 3, 5, 15, 25, 75
Factors for 100: 1, 2, 4, 5, 10, 10, 20, 25, 50, 100
Factors for 225: 1, 3, 5, 9, 15, 15, 25, 45, 75, 225
All three numbers can be divisible by 25. Therefore, we can perform the following step:
(75/25):(100/25):(225/25)
Simplifying it further, we will retrieve the answer:
3:4:9