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Shop fraction calculator

Tapes and rules still speak in sixteenths. Machines and drawings often speak in millimetres. This converts one reading and shows the nearest ruler marks, including how far the mark is from the number you typed.

Try 3 5/16, 1-1/2, 20 mm, or 8 ft. A fraction without a unit is inches.

Nearest marks

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Shop estimate. Measure your stock and cut a test on scrap.

Sixteenths, from the same rounding

Mark Decimal inches Millimetres
1/16 0.0625 1.59
1/8 0.1250 3.17
3/16 0.1875 4.76
1/4 0.2500 6.35
5/16 0.3125 7.94
3/8 0.3750 9.52
7/16 0.4375 11.11
1/2 0.5000 12.70
9/16 0.5625 14.29
5/8 0.6250 15.88
11/16 0.6875 17.46
3/4 0.7500 19.05
13/16 0.8125 20.64
7/8 0.8750 22.22
15/16 0.9375 23.81
1 1.0000 25.40

How to use it

  1. Type a fraction, a mixed number, or a decimal. 3/4, 1-1/2, 3 5/16, and 0.75 are all inches when you do not add a unit.
  2. Add a suffix when you mean it: mm, cm, m, in, ft, a double prime, or a single prime.
  3. Read decimal inches, millimetres, and the nearest sixteenth, thirty-second, and sixty-fourth.
  4. If two marks are the same distance, the rounding follows ordinary half-up rounding on the positive side of the rule.

The formula

Millimetres = inches × 25.4. The nearest mark multiplies the length by the denominator, rounds, and simplifies.

  • 25.4. The inch is defined as exactly 25.4 millimetres.
  • 1/16. The usual furniture rule. Finer marks are there when a joint needs them.
  • Error. How far the rounded mark sits from the length you typed, in inches.

Worked example

Type 20 mm. The nearest sixteenth of an inch is 13/16, and the nearer thirty-second is 25/32. Bare fractions are always read as inches, so 13/16 and 13/16 in are the same length. A bare decimal follows the unit you have not overridden with a suffix.

13/16 inch is also the thickness many hardwood dealers aim for when they surface 4/4 stock on two faces. The lumber-size page treats that as a trade habit, not a promise. Measure the board.

What it will not decide

  • It does not accumulate a cut list. Rounding every part to the nearest sixteenth and then adding them up can walk off the finished size.
  • Denominators only go to 64. That covers a machinist’s scale and a cabinet rule.
  • A bare fraction is inches. Twenty millimetres typed as 20/1 would be twenty inches. Type 20 mm.

Questions

Which way does a halfway mark round?

Toward the larger positive mark. Halfway between 0 and 1/16 becomes 1/16. Shop lengths here are positive, so you will not see a negative tape.

Is 13/16 the same as 20 mm?

No. 13/16 inch is 20.64 mm. Twenty millimetres is closer to 25/32 inch than to 13/16. The page shows the error so you can decide which mark to cut to.

Can I type feet?

Yes. 8 ft, 8 feet, and 8′ are 96 inches. A bare 8 is 8 inches in inch mode and 8 millimetres in metric mode.

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