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what's 75:100:225 in its simplest form?

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David Shabazi answered

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

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