Decimal to Fraction Inches Converter

Turn decimal inches into the nearest tape-measure fraction (1/2 to 1/64) with the rounding error shown — or a fraction, feet-and-inches or millimeters back into decimal inches. 1 inch is exactly 25.4 mm.

0.3" is about 5/16" to the nearest 1/16" — 0.0125" over

5/16"

0.3" = 7.62 mm · 5/16" = 0.3125" = 7.938 mm · error +0.0125" (+0.318 mm)

Nearest fraction at each precision
NearestFractionError
1/2"1/2"+0.2"
1/4"1/4"−0.05"
1/8"1/4"−0.05"
1/16"5/16"+0.0125"
1/32"5/16"+0.0125"
1/64"19/64"−0.0031"

0.375 · 1 3/8 · 1-3/8 · 2' 6-1/4" · 10 mm

Feet and inches—
Millimeters—

Sixteenths chart (tape measure)

FractionDecimalmm
1/16"0.06251.59
1/8"0.1253.18
3/16"0.18754.76
1/4"0.256.35
5/16"0.31257.94
3/8"0.3759.53
7/16"0.437511.11
1/2"0.512.70
9/16"0.562514.29
5/8"0.62515.88
11/16"0.687517.46
3/4"0.7519.05
13/16"0.812520.64
7/8"0.87522.23
15/16"0.937523.81
1"125.40

Fraction to decimal chart in 64ths, with mm

Every 1/64" step has a finite decimal, so the decimals below are exact. Millimeters are rounded to 0.001 mm.

Fraction64thsDecimalmm
1/64"1/640.0156250.397
1/32"2/640.0312500.794
3/64"3/640.0468751.191
1/16"4/640.0625001.588
5/64"5/640.0781251.984
3/32"6/640.0937502.381
7/64"7/640.1093752.778
1/8"8/640.1250003.175
9/64"9/640.1406253.572
5/32"10/640.1562503.969
11/64"11/640.1718754.366
3/16"12/640.1875004.763
13/64"13/640.2031255.159
7/32"14/640.2187505.556
15/64"15/640.2343755.953
1/4"16/640.2500006.350
17/64"17/640.2656256.747
9/32"18/640.2812507.144
19/64"19/640.2968757.541
5/16"20/640.3125007.938
21/64"21/640.3281258.334
11/32"22/640.3437508.731
23/64"23/640.3593759.128
3/8"24/640.3750009.525
25/64"25/640.3906259.922
13/32"26/640.40625010.319
27/64"27/640.42187510.716
7/16"28/640.43750011.113
29/64"29/640.45312511.509
15/32"30/640.46875011.906
31/64"31/640.48437512.303
1/2"32/640.50000012.700
33/64"33/640.51562513.097
17/32"34/640.53125013.494
35/64"35/640.54687513.891
9/16"36/640.56250014.288
37/64"37/640.57812514.684
19/32"38/640.59375015.081
39/64"39/640.60937515.478
5/8"40/640.62500015.875
41/64"41/640.64062516.272
21/32"42/640.65625016.669
43/64"43/640.67187517.066
11/16"44/640.68750017.463
45/64"45/640.70312517.859
23/32"46/640.71875018.256
47/64"47/640.73437518.653
3/4"48/640.75000019.050
49/64"49/640.76562519.447
25/32"50/640.78125019.844
51/64"51/640.79687520.241
13/16"52/640.81250020.638
53/64"53/640.82812521.034
27/32"54/640.84375021.431
55/64"55/640.85937521.828
7/8"56/640.87500022.225
57/64"57/640.89062522.622
29/32"58/640.90625023.019
59/64"59/640.92187523.416
15/16"60/640.93750023.813
61/64"61/640.95312524.209
31/32"62/640.96875024.606
63/64"63/640.98437525.003
1"64/641.00000025.400

How the rounding works

  • Multiply the decimal part by the denominator — 16 for sixteenths — and round to the nearest whole number. Halfway values round up.
  • Reduce the fraction: 6/16 becomes 3/8. If it rounds all the way up (16/16), the whole number goes up by one.
  • The error is the fraction minus your measurement: + means the fraction is a little longer, − a little shorter.
  • Millimeters use the exact definition 1 in = 25.4 mm. For other units, use the unit converter.

Frequently asked questions

How do I convert a decimal to a fraction in inches?

Multiply the decimal part by the denominator you want (16 for sixteenths), round to the nearest whole number, then reduce. 0.375 × 16 = 6, and 6/16 reduces to 3/8 — so 0.375" is 3/8".

What is 0.3 inch as a fraction?

About 5/16" (0.3125"), which is 0.0125" over. To the nearest 1/64 it is 19/64" (0.296875"), 0.0031" under.

How many millimeters is an inch?

Exactly 25.4 mm. The international inch has been defined that way since 1959, so the conversion is exact, not rounded.

Which precision should I use?

Most tape measures mark sixteenths, so 1/16" suits woodworking and carpentry. Use 1/32" or 1/64" for machining and close fits, and 1/8" when a rough mark is enough.

What happens when a value is exactly halfway between two fractions?

This converter rounds halfway values up, and always shows the error so you can see which way it went. 0.15625" at 1/16" becomes 3/16", 0.03125" over.

Checked on 2026-10-05. Based on: 1 inch = 25.4 mm exactly (NIST SP 811 Appendix B.8 — international inch, 1959) · fraction rounding is arithmetic.

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