Tape math

Decimal to fraction inches

To convert decimal inches to a fraction, multiply the decimal part by 16 (or 32, 64), round to a whole number and put it over 16. 3.6875 in × 16 = 59, so 3-11/16 in; 0.3 in is about 5/16 in (0.3125), 0.0125 in off.

Framing Calculators editorial teamUpdated

Calculator

Decimal to fraction inches calculator

Decimal inches or millimetres to the nearest tape-measure fraction.

Try:

Type lengths the way you read a tape: 8' 9", 7 3/4 or 7.75. Metric: 2667 mm or 2.667 m.

Fraction3 11/16″nearest 1/16 in
Off by0 in0 mm
Exact3.6875 in93.66 mm
PrecisionFractionOff by (in)
1/43 3/4″0.0625
1/83 3/4″0.0625
1/163 11/16″0
1/323 11/16″0
1/643 11/16″0

How it works. Fraction = round(decimal × denominator) ÷ denominator, reduced. The error is the fraction minus the exact value. Millimetres are divided by 25.4 first.

Decimal to fraction chart (1/16 inch)

Each sixteenth of an inch is 0.0625 in; the chart lists every mark on a standard tape:

Inch fractions to decimals and millimetres
FractionDecimalmm
1/160.06251.59
1/80.1253.18
3/160.18754.76
1/40.256.35
5/160.31257.94
3/80.3759.52
7/160.437511.11
1/20.512.7
9/160.562514.29
5/80.62515.88
11/160.687517.46
3/40.7519.05
13/160.812520.64
7/80.87522.23
15/160.937523.81

Tape measure calculator: reading the marks

On a tape, the longest marks between inches are the halves, then quarters, eighths and sixteenths. Read a length by counting sixteenths from the last whole inch and reduce: 6 sixteenths is 3/8. Many tapes also mark 32nds on the first few inches. To add or subtract lengths in feet, inches and fractions, use the feet and inches calculator.

Fraction calculator inches: which precision?

  • 1/8 in: rough framing and site work.
  • 1/16 in: finish carpentry, trim and stair layout; every calculator on this site rounds to 1/16 by default.
  • 1/32 and 1/64 in: cabinetry and machining.

The table in the results shows the same number at every precision and how far each is from the exact value. For metric drawings, type millimetres and read the nearest fraction; the stair calculator and the board foot calculator accept either unit directly.

Frequently asked questions

How do you convert a decimal to a fraction of an inch?

Multiply the decimal by 16, round to the nearest whole number and write it over 16, then reduce. 0.375 × 16 = 6, so 6/16 = 3/8 in.

What is 0.3 inches as a fraction?

About 5/16 in (0.3125), the nearest sixteenth.

What is 1 mm in fractions of an inch?

0.03937 in, which rounds to 1/32 in, or 0 to the nearest sixteenth.