Decimal & Fraction Converter
Two-way conversion between decimal inches/feet and feet-inches-fractions. Snaps to 1/16, 1/32, or 1/64 — whatever your tape measure reads.
Decimal → Fraction
Feet + Inches + Fraction → Decimal
How fractions and decimal inches relate
A tape measure divides each inch into halves, then quarters, eighths, sixteenths, and (on machinist scales) thirty-seconds and sixty-fourths. To convert decimal inches to a fraction, multiply the decimal portion by the denominator you want, round to the nearest whole number, and simplify.
Worked example: 0.4375" with a denominator of 16. 0.4375 × 16 = 7.00, so it lands on exactly 7/16". Another: 0.3" with a denominator of 32. 0.3 × 32 = 9.6, rounds to 10/32 → 5/16".
Decimal feet to feet-inches
Multiply the decimal portion of the feet value by 12, and that's your inches. 8.75 ft → 8 ft 9 in. 12.333 ft → 12 ft 4 in. Then take the decimal portion of the inches result and convert that to a fraction as above.
Decimal inch ↔ fraction reference chart
| Decimal | 32nds | 16ths | 8ths | mm |
|---|---|---|---|---|
| 0.0156 | 1/32 | — | — | 0.40 |
| 0.0313 | 1/32 | — | — | 0.79 |
| 0.0625 | 2/32 | 1/16 | — | 1.59 |
| 0.0938 | 3/32 | — | — | 2.38 |
| 0.1250 | 4/32 | 2/16 | 1/8 | 3.18 |
| 0.1563 | 5/32 | — | — | 3.97 |
| 0.1875 | 6/32 | 3/16 | — | 4.76 |
| 0.2188 | 7/32 | — | — | 5.56 |
| 0.2500 | 8/32 | 4/16 | 2/8 = 1/4 | 6.35 |
| 0.3125 | 10/32 | 5/16 | — | 7.94 |
| 0.3750 | 12/32 | 6/16 | 3/8 | 9.53 |
| 0.4375 | 14/32 | 7/16 | — | 11.11 |
| 0.5000 | 16/32 | 8/16 | 4/8 = 1/2 | 12.70 |
| 0.5625 | 18/32 | 9/16 | — | 14.29 |
| 0.6250 | 20/32 | 10/16 | 5/8 | 15.88 |
| 0.6875 | 22/32 | 11/16 | — | 17.46 |
| 0.7500 | 24/32 | 12/16 | 6/8 = 3/4 | 19.05 |
| 0.8125 | 26/32 | 13/16 | — | 20.64 |
| 0.8750 | 28/32 | 14/16 | 7/8 | 22.23 |
| 0.9375 | 30/32 | 15/16 | — | 23.81 |
| 1.0000 | 32/32 | 16/16 | 8/8 = 1 | 25.40 |