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Reckoning / Measure / Fractions and decimals

Measure · exact

Fractions of an inch

Rulers divide the inch by halves down to sixty-fourths; drawings and machines use decimals and millimetres. Every 64th of an inch is a decimal that ends, and since the inch is exactly 25.4 mm, so is its value in millimetres.

Ruler

All 64ths

FractionInchMillimetre
1/640.015 6250.396 875
1/320.031 250.793 75
3/640.046 8751.190 625
1/160.062 51.587 5
5/640.078 1251.984 375
3/320.093 752.381 25
7/640.109 3752.778 125
1/80.1253.175
9/640.140 6253.571 875
5/320.156 253.968 75
11/640.171 8754.365 625
3/160.187 54.762 5
13/640.203 1255.159 375
7/320.218 755.556 25
15/640.234 3755.953 125
1/40.256.35
17/640.265 6256.746 875
9/320.281 257.143 75
19/640.296 8757.540 625
5/160.312 57.937 5
21/640.328 1258.334 375
11/320.343 758.731 25
23/640.359 3759.128 125
3/80.3759.525
25/640.390 6259.921 875
13/320.406 2510.318 75
27/640.421 87510.715 625
7/160.437 511.112 5
29/640.453 12511.509 375
15/320.468 7511.906 25
31/640.484 37512.303 125
1/20.512.7
33/640.515 62513.096 875
17/320.531 2513.493 75
35/640.546 87513.890 625
9/160.562 514.287 5
37/640.578 12514.684 375
19/320.593 7515.081 25
39/640.609 37515.478 125
5/80.62515.875
41/640.640 62516.271 875
21/320.656 2516.668 75
43/640.671 87517.065 625
11/160.687 517.462 5
45/640.703 12517.859 375
23/320.718 7518.256 25
47/640.734 37518.653 125
3/40.7519.05
49/640.765 62519.446 875
25/320.781 2519.843 75
51/640.796 87520.240 625
13/160.812 520.637 5
53/640.828 12521.034 375
27/320.843 7521.431 25
55/640.859 37521.828 125
7/80.87522.225
57/640.890 62522.621 875
29/320.906 2523.018 75
59/640.921 87523.415 625
15/160.937 523.812 5
61/640.953 12524.209 375
31/320.968 7524.606 25
63/640.984 37525.003 125

Inches as decimals of a foot

Surveyors and builders often work in decimal feet. Twelfths do not end as decimals, so these are rounded.

InchesFoot
1/4 in0.020 833 3… ft
1/2 in0.041 666 7… ft
3/4 in0.062 5 ft
1 in0.083 333 3… ft
1 1/4 in0.104 167… ft
1 1/2 in0.125 ft
1 3/4 in0.145 833… ft
2 in0.166 667… ft
2 1/4 in0.187 5 ft
2 1/2 in0.208 333… ft
2 3/4 in0.229 167… ft
3 in0.25 ft
3 1/4 in0.270 833… ft
3 1/2 in0.291 667… ft
3 3/4 in0.312 5 ft
4 in0.333 333… ft
4 1/4 in0.354 167… ft
4 1/2 in0.375 ft
4 3/4 in0.395 833… ft
5 in0.416 667… ft
5 1/4 in0.437 5 ft
5 1/2 in0.458 333… ft
5 3/4 in0.479 167… ft
6 in0.5 ft
6 1/4 in0.520 833… ft
6 1/2 in0.541 667… ft
6 3/4 in0.562 5 ft
7 in0.583 333… ft
7 1/4 in0.604 167… ft
7 1/2 in0.625 ft
7 3/4 in0.645 833… ft
8 in0.666 667… ft
8 1/4 in0.687 5 ft
8 1/2 in0.708 333… ft
8 3/4 in0.729 167… ft
9 in0.75 ft
9 1/4 in0.770 833… ft
9 1/2 in0.791 667… ft
9 3/4 in0.812 5 ft
10 in0.833 333… ft
10 1/4 in0.854 167… ft
10 1/2 in0.875 ft
10 3/4 in0.895 833… ft
11 in0.916 667… ft
11 1/4 in0.937 5 ft
11 1/2 in0.958 333… ft
11 3/4 in0.979 167… ft