Decimal to Fraction Calculator — 16ths Precision
Nearest 1/16
Nearest 1/32
Nearest 1/64
* Highlighted card indicates the most precise match.
Visual Representation
Understanding Fractional Precision
When converting a decimal to a fraction for practical measurements (like woodworking or machining), you usually don't want an exact, obscure fraction like 82/100 (41/50). Instead, you want the nearest fraction on a standard scale.
When to Use 16ths vs 32nds vs 64ths
- 1/16": Standard construction and carpentry. The smallest mark on most standard measuring tapes.
- 1/32": Fine woodworking and detailed DIY projects. Found on precision rulers.
- 1/64": Machining, metalworking, and highly precise drafting. Found on machinist scales.
16ths Reference Table
| Fraction | Decimal |
|---|---|
| 1/16 | 0.0625 |
| 1/8 | 0.125 |
| 3/16 | 0.1875 |
| 1/4 | 0.25 |
| 5/16 | 0.3125 |
| 3/8 | 0.375 |
| 7/16 | 0.4375 |
| 1/2 | 0.5 |
| 9/16 | 0.5625 |
| 5/8 | 0.625 |
| 11/16 | 0.6875 |
| 3/4 | 0.75 |
| 13/16 | 0.8125 |
| 7/8 | 0.875 |
| 15/16 | 0.9375 |
Additional 32nds Reference
| Fraction | Decimal |
|---|---|
| 1/32 | 0.03125 |
| 3/32 | 0.09375 |
| 5/32 | 0.15625 |
| 7/32 | 0.21875 |
| 9/32 | 0.28125 |
| 11/32 | 0.34375 |
| 13/32 | 0.40625 |
| 15/32 | 0.46875 |
| 17/32 | 0.53125 |
| 19/32 | 0.59375 |
Standard Calculator
Convert exact decimals to fractions.
Repeating Decimal
Convert repeating decimals to fractions.
Inches Calculator
Convert decimals to measuring tape fractions.
Frequently Asked Questions
Common questions about 16ths precision and fraction measurements
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01 How do I round a decimal to the nearest 16th?
Multiply the decimal by 16, round to the nearest whole number, and write it over 16. Then simplify. Example: 0.82 × 16 = 13.12, which rounds to 13. So 0.82 ≈ 13/16. Since GCD(13, 16) = 1, the fraction is already in simplest form.
02 Why is 16ths precision so common?
Sixteenths (1/16 inch = 0.0625 in) is the standard precision on most US tape measures and construction tools. It provides enough accuracy for framing, drywall, flooring, and general carpentry while keeping fractional values easy to read on a ruler.
03 How do I find 16ths on a tape measure?
The 16ths are the shortest lines on a standard tape measure, located exactly between the 8th-inch marks. Counting them gives you the exact 1/16th measurement.
04 When should I use 16ths vs 32nds?
Use 16ths for framing, flooring, drywall, and general carpentry where tolerances of ±1/32 inch are acceptable. Use 32nds for cabinetry, fine woodworking joints, and machining. Use 64ths for precision metalwork, lathe operations, and veneer thickness measurements.
05 What is the decimal equivalent of 1/16?
1/16 = 0.0625. Each additional sixteenth adds 0.0625: 2/16 (= 1/8) = 0.125, 3/16 = 0.1875, 4/16 (= 1/4) = 0.25, and so on up to 16/16 = 1.0. The complete table is shown below on this page.
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