Converting -0.125 to a Fraction: A Step-by-Step Guide

To convert the decimal -0.125 into a fraction, follow these steps:

1. Understand the Decimal: The decimal -0.125 can be separated into its whole number and decimal parts. In this case, it’s negative one hundred twenty-five thousandths.
2. Convert the Decimal to a Fraction: Ignore the negative sign for the moment and convert 0.125 into a fraction. Since 0.125 is in the thousandths place, we can express it as:
   - 0.125 = 125/1000
3. Simplify the Fraction: Next, we need to simplify 125/1000. To do this, find the greatest common divisor (GCD) of 125 and 1000, which is 125.
   Divide both the numerator and denominator by their GCD:
   - 125 ÷ 125 = 1
   - 1000 ÷ 125 = 8
   Thus, 125/1000 simplifies to 1/8.
4. Include the Negative Sign: Since the original decimal is negative, we should now include that negative sign, resulting in:
   -0.125 = -1/8.

Therefore, the fraction representation of -0.125 is -1/8.