How do you convert a decimal to inches and fractions?

0.375" is 3/8". Multiply by 16, round, and put it over 16 — then simplify. Every sixteenth as a decimal and in millimetres.

Multiply by 16 and round: 0.375 × 16 = 6, so 0.375" is 3/8".

A tape is marked in sixteenths, so sixteenths is the answer you actually want. For finer work multiply by 32 or 64 instead — the method does not change, only the denominator.

How that is worked out

  1. Multiply the decimal by the denominator you want — 16 for a tape measure, 32 or 64 for machine work.
  2. Round to a whole number and put it over that denominator: 6/16.
  3. Simplify by halving top and bottom while both stay whole: 6/16 → 3/8". That is the form a tape is actually marked in.

Every sixteenth, as a decimal and in millimetres

Every sixteenth, as a decimal and in millimetres
FractionDecimalMillimetresIn 32ndsIn 64ths
1/16"0.06251.592/324/64
1/8"0.12503.174/328/64
3/16"0.18754.766/3212/64
1/4"0.25006.358/3216/64
5/16"0.31257.9410/3220/64
3/8"0.37509.5212/3224/64
7/16"0.437511.1114/3228/64
1/2"0.500012.7016/3232/64
9/16"0.562514.2918/3236/64
5/8"0.625015.8820/3240/64
11/16"0.687517.4622/3244/64
3/4"0.750019.0524/3248/64
13/16"0.812520.6426/3252/64
7/8"0.875022.2228/3256/64
15/16"0.937523.8130/3260/64
1"1.000025.4032/3264/64

Worth knowing

  • Round to what you can actually cut. A sixteenth is the honest limit of a tape and a pencil line; a thirty-second is realistic at a table saw with a good rule; sixty-fourths belong to machine setups and feeler gauges.
  • The inch is defined as exactly 25.4 mm, so the millimetre column is exact rather than approximate. It is one of the few conversions in this trade that is not a rounding.
  • Watch for decimals that do not land on a sixteenth. 0.333" is a third of an inch and is not any fraction on a tape — it is between 5/16" and 3/8", and which one you take depends on whether the part has to fit inside something.
  • A part that has to fit inside something rounds down; a clearance or a jig setting rounds up. Rounding to nearest is right for a dimension and wrong for both of those.