express the following percentage as ratio in the reduced form 75:100 in a complete explanatory method for high school students
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Answer:
The ratio of 75 : 100 = 3 : 4
Step-by-step explanation:
We can find the ratio of 75:100 by prime factorization
Prime factorization of 75
75 = 3 x 5 x 5
Prime factorization of 100
100 = 2 x 2 x 5 x5
To find the ratio 75 : 100
75/100 =(3 x 5 x 5) /(2 x 2 x 5 x5) = 3/(2 x 2) = 3/4
Therefore ratio of 75 : 100 = 3 : 4
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