Decimals as fractions

Every decimal here has a permanent page: the fraction it names in lowest terms, the reduction step by step, the percentage, and what it measures in millimetres read as inches. Pages live at /decimals/0-375/ — the digits with a dash where the point goes.

Every hundredth

The two-place decimals — what a calculator hands you, and what a percentage becomes.

0.01 1/100 0.02 1/50 0.03 3/100 0.04 1/25 0.05 1/20 0.06 3/50 0.07 7/100 0.08 2/25 0.09 9/100 0.1 1/10 0.11 11/100 0.12 3/25 0.13 13/100 0.14 7/50 0.15 3/20 0.16 4/25 0.17 17/100 0.18 9/50 0.19 19/100 0.2 1/5 0.21 21/100 0.22 11/50 0.23 23/100 0.24 6/25 0.25 1/4 0.26 13/50 0.27 27/100 0.28 7/25 0.29 29/100 0.3 3/10 0.31 31/100 0.32 8/25 0.33 33/100 0.34 17/50 0.35 7/20 0.36 9/25 0.37 37/100 0.38 19/50 0.39 39/100 0.4 2/5 0.41 41/100 0.42 21/50 0.43 43/100 0.44 11/25 0.45 9/20 0.46 23/50 0.47 47/100 0.48 12/25 0.49 49/100 0.5 1/2 0.51 51/100 0.52 13/25 0.53 53/100 0.54 27/50 0.55 11/20 0.56 14/25 0.57 57/100 0.58 29/50 0.59 59/100 0.6 3/5 0.61 61/100 0.62 31/50 0.63 63/100 0.64 16/25 0.65 13/20 0.66 33/50 0.67 67/100 0.68 17/25 0.69 69/100 0.7 7/10 0.71 71/100 0.72 18/25 0.73 73/100 0.74 37/50 0.75 3/4 0.76 19/25 0.77 77/100 0.78 39/50 0.79 79/100 0.8 4/5 0.81 81/100 0.82 41/50 0.83 83/100 0.84 21/25 0.85 17/20 0.86 43/50 0.87 87/100 0.88 22/25 0.89 89/100 0.9 9/10 0.91 91/100 0.92 23/25 0.93 93/100 0.94 47/50 0.95 19/20 0.96 24/25 0.97 97/100 0.98 49/50 0.99 99/100

The fractional-inch decimals

The exact decimals of the eighths, sixteenths, 32nds and 64ths — the numbers a caliper shows when the rule says a fraction.

0.015625 1/64 0.03125 1/32 0.046875 3/64 0.0625 1/16 0.078125 5/64 0.09375 3/32 0.109375 7/64 0.125 1/8 0.140625 9/64 0.15625 5/32 0.171875 11/64 0.1875 3/16 0.203125 13/64 0.21875 7/32 0.234375 15/64 0.265625 17/64 0.28125 9/32 0.296875 19/64 0.3125 5/16 0.328125 21/64 0.34375 11/32 0.359375 23/64 0.375 3/8 0.390625 25/64 0.40625 13/32 0.421875 27/64 0.4375 7/16 0.453125 29/64 0.46875 15/32 0.484375 31/64 0.515625 33/64 0.53125 17/32 0.546875 35/64 0.5625 9/16 0.578125 37/64 0.59375 19/32 0.609375 39/64 0.625 5/8 0.640625 41/64 0.65625 21/32 0.671875 43/64 0.6875 11/16 0.703125 45/64 0.71875 23/32 0.734375 47/64 0.765625 49/64 0.78125 25/32 0.796875 51/64 0.8125 13/16 0.828125 53/64 0.84375 27/32 0.859375 55/64 0.875 7/8 0.890625 57/64 0.90625 29/32 0.921875 59/64 0.9375 15/16 0.953125 61/64 0.96875 31/32 0.984375 63/64
Where this comes from. Exact rational arithmetic on the values shown — fractions are pairs of integers until display, and inch–metric conversion uses 25.4 mm to the inch, exact by definition since 1959. See the full methodology.