Answer:
Option A, 3/4
Explanation:
To find an equivalent fraction or simplify a fraction, we divide the values of both the numerator and denominator by their greatest common factor. The greatest common factor (GCF) is the largest number two or more numbers share within their list of factors.
The first step is to list factors of both numerator (75) and denominator (100).
Factors of 75 are:
1, 3, 5, 15, 25, 75
Factors of 100 are:
1, 2, 4, 5, 10, 20, 25, 50, 100
The largest number they both share is 25, therefore, we divide numerator and denominator by 25.
75 / 25 = 3
100 / 25 = 4
75/100 simplifies to 3/4 when numerator and denominator are divided by 25. Thus, the equivalent fraction in option A, 3/4.