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25 students taking Science class and 75 students taking English class.

15 students taking Science class and 45 students taking English class.

The first ratio given is, number of students Science : English = 25 : 75.

Simplifying the ratio gives 1 : 3.

The second ratio given is, number of students Science : English = 15 : 45

Simplifying the ratio gives 1 : 3.

Therefore the two ratios are equivalent.

The fraction form can be written as 48/96.

The number 48 can be written as; 28 = 2 * 2 *7.

The number 56 can be written as 56 = 2 * 2 * 2 * 7.

Canceling the common factors simplifies the fraction to 1/2.

Hence the simplified ratio is 1 : 2.