What is the equivalent of 0.125 as a fraction?

To understand why 0.125 is equivalent to 1/8 as a fraction, we can convert the decimal to a fraction by recognizing its place value. The digit 5 is in the thousandths place in the number 0.125, which indicates that it can be expressed as 125/1000.

Next, simplifying the fraction 125/1000 involves finding the greatest common divisor (GCD) of both the numerator and the denominator. Both 125 and 1000 can be divided by 125, yielding 1/8 after simplification. This process shows that 0.125 is indeed equal to 1/8.

Understanding the relationships of other options can provide clarity as well. The fraction 1/4 is equal to 0.25, 1/16 is equal to 0.0625, and 1/2 equals 0.5, which are all distinct from 0.125. Hence, the only correct representation of 0.125 as a fraction is 1/8.