Concentration
ppbtofrac
Convert parts per billion (10⁻⁹) (ppb) to fractions (dimensionless ratio) (frac).
Factor1 ppb = 1e-9 frac
Converter
ppb
Accepts numbers or expressions, e.g. 150 + 14.7
Result
frac
Rendered to 6 significant figures.
Formula
Formula
frac = ppb × 1e-9
Multiply any value in parts per billion (10⁻⁹) by 1e-9 to obtain the value in fractions (dimensionless ratio).
Worked example
Convert 1e+9 ppb to frac.
- 01Start with 1e+9 ppb.
- 02Multiply by the conversion factor: 1e+9 × 1e-9 = 1 frac.
Result1e+9 ppb = 1 frac
Conversion table
| ppb | frac |
|---|---|
| 1 | 1e-9 |
| 2 | 2e-9 |
| 5 | 5e-9 |
| 10 | 1e-8 |
| 20 | 2e-8 |
| 50 | 5e-8 |
| 100 | 1e-7 |
| 200 | 2e-7 |
| 500 | 5e-7 |
| 1000 | 1e-6 |
Reference values rounded to 5 significant figures for display.
FAQ
What is the conversion factor from ppb to frac?
1 ppb equals 1e-9 frac. To convert, multiply the value in parts per billion (10⁻⁹) by 1e-9.
How do I convert 1 ppb to frac?
1 ppb = 1e-9 frac. For any value, multiply by 1e-9.
How do I convert frac back to ppb?
Divide by the same factor — or equivalently, multiply by 1e+9. So 1 frac = 1e+9 ppb.
When would I need to convert parts per billion (10⁻⁹) to fraction (dimensionless ratio)?
Concentration-ratio conversions between ppb and frac are used in trace-analysis, gas-composition work, environmental reporting and process-chemistry datasheets. These conversions are dimensionless: they do NOT cover mg/L, g/L, mol/L, normality, equivalents, mass-percent, volume-percent, ppmw or ppmv — those require solution density and/or molecular weight. Note: ppt here means parts per trillion (10⁻¹²), not parts per thousand.
Is the conversion exact?
Yes. Both ppb and frac are defined by exact SI relationships, so the displayed factor is exact (any rounding shown is only for display).
Related conversions
- frac → ppbfraction (dimensionless ratio) → parts per billion (10⁻⁹)
- frac → %fraction (dimensionless ratio) → percent (10⁻²)
- % → fracpercent (10⁻²) → fraction (dimensionless ratio)
- frac → ppmfraction (dimensionless ratio) → parts per million (10⁻⁶)
- ppm → fracparts per million (10⁻⁶) → fraction (dimensionless ratio)
- frac → pptfraction (dimensionless ratio) → parts per trillion (10⁻¹²)