0.125 as a fraction is 1/8. As a percent it is 12.5%. The fraction is in lowest terms: the numerator and denominator share no common factor other than 1.
How to convert 0.125 to a fraction
Step 1. Write 0.125 over a power of ten. It has 3 digits after the decimal point, so the denominator is 1000: 0.125 = 125/1,000.
Step 2. Find the greatest common divisor of 125 and 1,000, which is 125.
Step 3. Divide the top and bottom by 125: 125 ÷ 125 = 1 and 1,000 ÷ 125 = 8. The result is 1/8.
The denominator 8 factors into 2 × 2 × 2, so this decimal terminates, as every decimal that is written with a finite number of digits does.
0.125 compared with nearby decimals
These decimals have the same number of places as 0.125, so the same method gives their fractions:
| Decimal | Fraction | Percent |
|---|---|---|
| 0.123 | 123/1000 | 12.3% |
| 0.124 | 31/250 | 12.4% |
| 0.126 | 63/500 | 12.6% |
| 0.127 | 127/1000 | 12.7% |
Multiples of 0.125
Scaling the fraction is a quick way to check your work. Each row multiplies 0.125 (1/8) by a whole number:
| Multiple | Decimal | Fraction | Mixed number |
|---|---|---|---|
| 2 × 0.125 | 0.25 | 1/4 | 1/4 |
| 3 × 0.125 | 0.375 | 3/8 | 3/8 |
| 4 × 0.125 | 0.5 | 1/2 | 1/2 |
| 5 × 0.125 | 0.625 | 5/8 | 5/8 |
| 10 × 0.125 | 1.25 | 5/4 | 1 1/4 |
1/8 of an inch
Tape measures and drill bits use binary fractions of an inch. Since one inch is defined as exactly 25.4 millimetres, 1/8 inch equals 1 × 25.4 ÷ 8 = 3.1750 mm.
Change the decimal in the calculator above to convert any other number; leave the precision on Exact fraction for the precise answer.