The decimal number .125 can be expressed as a fraction in its simplest form. This process involves converting the decimal into a fraction by placing the decimal portion over a power of 10 and then simplifying the resulting fraction.
To begin, we identify the place value of the last digit in the decimal. In this case, the 5 is in the hundredths place, so we write it as 0.125. Next, we multiply both the decimal and the power of 10 by 10 to shift the decimal point one place to the right, resulting in 1.25.
Now, we can express 1.25 as a fraction by writing it as 125/100. This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 25. Simplifying 125/100 gives us 5/4.
Therefore, .125 in fraction form is 5/4, which represents the decimal number 0.125 exactly.