Numbers & Math

Fraction to Decimal Chart

Inch fractions from 1/64 to 1" converted to decimal inches and millimetres. Includes common 1/8, 1/16, 1/32 shop fractions and decimal-inch ↔ mm lookup.

All inch fractions in 64ths up to 1", reduced to lowest terms, with decimal-inch and millimetre equivalents. Machinists, carpenters, and drafters use this for drill selection, plan reading, and converting between fraction-drill and decimal/CAD measurements.

Inch fractions (1/64 → 1") — full table

Fraction (64ths)ReducedDecimal inchMillimetres
1/640.0156250.3969
2/641/320.0312500.7937
3/640.0468751.1906
4/641/160.0625001.5875
5/640.0781251.9844
6/643/320.0937502.3812
7/640.1093752.7781
8/641/80.1250003.1750
9/640.1406253.5719
10/645/320.1562503.9688
11/640.1718754.3656
12/643/160.1875004.7625
13/640.2031255.1594
14/647/320.2187505.5562
15/640.2343755.9531
16/641/40.2500006.3500
17/640.2656256.7469
18/649/320.2812507.1437
19/640.2968757.5406
20/645/160.3125007.9375
21/640.3281258.3344
22/6411/320.3437508.7312
23/640.3593759.1281
24/643/80.3750009.5250
25/640.3906259.9219
26/6413/320.40625010.3187
27/640.42187510.7156
28/647/160.43750011.1125
29/640.45312511.5094
30/6415/320.46875011.9062
31/640.48437512.3031
32/641/20.50000012.7000
33/640.51562513.0969
34/6417/320.53125013.4937
35/640.54687513.8906
36/649/160.56250014.2875
37/640.57812514.6844
38/6419/320.59375015.0812
39/640.60937515.4781
40/645/80.62500015.8750
41/640.64062516.2719
42/6421/320.65625016.6687
43/640.67187517.0656
44/6411/160.68750017.4625
45/640.70312517.8594
46/6423/320.71875018.2562
47/640.73437518.6531
48/643/40.75000019.0500
49/640.76562519.4469
50/6425/320.78125019.8438
51/640.79687520.2406
52/6413/160.81250020.6375
53/640.82812521.0344
54/6427/320.84375021.4312
55/640.85937521.8281
56/647/80.87500022.2250
57/640.89062522.6219
58/6429/320.90625023.0187
59/640.92187523.4156
60/6415/160.93750023.8125
61/640.95312524.2094
62/6431/320.96875024.6062
63/640.98437525.0031
64/641/11.00000025.4000

Common shop fractions

FractionDecimal inchmm
1/160.06251.5875
1/80.12503.1750
3/160.18754.7625
1/40.25006.3500
5/160.31257.9375
3/80.37509.5250
7/160.437511.1125
1/20.500012.7000
9/160.562514.2875
5/80.625015.8750
11/160.687517.4625
3/40.750019.0500
13/160.812520.6375
7/80.875022.2250
15/160.937523.8125
11.000025.4000

Decimal inch → mm (reverse look-up)

Decimal inmmNearest fraction
0.0100.2540≈ 0 (thou)
0.0310.79371/32
0.0401.0160≈ 3/64
0.0501.2700≈ 1/16 - 3/64
0.0631.60021/16
0.1002.54007/64 (.109)
0.1253.17501/8
0.2005.080013/64 (.203)
0.2506.35001/4
0.3759.52503/8
0.50012.70001/2
0.62515.87505/8
0.75019.05003/4
0.87522.22507/8
1.00025.40001

Commonly rounded conversions

1 inch= 25.4 mm (exact by international agreement, 1959)
1 foot= 12 in = 304.8 mm
1 yard= 36 in = 914.4 mm
1 mil / thou= 0.001 in = 0.0254 mm = 25.4 µm
1 mm≈ 0.03937 in = 39.37 thou
1 cm= 0.3937 in
1 meter≈ 39.3701 in = 3.2808 ft

Tips

  • To convert fraction → decimal: divide top by bottom. 5/16 = 5 ÷ 16 = 0.3125.
  • To convert decimal → fraction of an inch: multiply by 64, round to whole number, reduce. 0.42" × 64 = 26.88 → 27/64".
  • To convert inch → mm: multiply by 25.4. Exact — never rounded in engineering.
  • To convert mm → inch: multiply by 0.0393701 (or divide by 25.4). 15 mm ÷ 25.4 = 0.5906".
  • Never mix significant figures: if your measurement is to 1/64" (0.0156" = 0.4 mm), don't report a 0.001 mm result.
  • Shop rules of thumb: 1 mm ≈ 1/25 in or 40 mm ≈ 1-1/2 in for quick estimates.
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