FractionReference

Decimal → fraction chart

The same facts as the fraction–decimal chart, sorted the way you actually look them up when the calculator hands you 0.4375: by decimal. Exact values print plainly; repeating ones are rounded and marked ≈.

DecimalFractionPercent
0.015625 1/64 1.5625%
0.03125 1/32 3.125%
0.046875 3/64 4.6875%
0.0625 1/16 6.25%
0.078125 5/64 7.8125%
≈ 0.083333 1/12 ≈ 8.333333%
≈ 0.090909 1/11 ≈ 9.090909%
0.09375 3/32 9.375%
0.1 1/10 10%
0.109375 7/64 10.9375%
≈ 0.111111 1/9 ≈ 11.111111%
0.125 1/8 12.5%
0.140625 9/64 14.0625%
≈ 0.142857 1/7 ≈ 14.285714%
0.15625 5/32 15.625%
≈ 0.166667 1/6 ≈ 16.666667%
0.171875 11/64 17.1875%
≈ 0.181818 2/11 ≈ 18.181818%
0.1875 3/16 18.75%
0.2 1/5 20%
0.203125 13/64 20.3125%
0.21875 7/32 21.875%
≈ 0.222222 2/9 ≈ 22.222222%
0.234375 15/64 23.4375%
0.25 1/4 25%
0.265625 17/64 26.5625%
≈ 0.272727 3/11 ≈ 27.272727%
0.28125 9/32 28.125%
≈ 0.285714 2/7 ≈ 28.571429%
0.296875 19/64 29.6875%
0.3 3/10 30%
0.3125 5/16 31.25%
0.328125 21/64 32.8125%
≈ 0.333333 1/3 ≈ 33.333333%
DecimalFractionPercent
0.34375 11/32 34.375%
0.359375 23/64 35.9375%
≈ 0.363636 4/11 ≈ 36.363636%
0.375 3/8 37.5%
0.390625 25/64 39.0625%
0.4 2/5 40%
0.40625 13/32 40.625%
≈ 0.416667 5/12 ≈ 41.666667%
0.421875 27/64 42.1875%
≈ 0.428571 3/7 ≈ 42.857143%
0.4375 7/16 43.75%
≈ 0.444444 4/9 ≈ 44.444444%
0.453125 29/64 45.3125%
≈ 0.454545 5/11 ≈ 45.454545%
0.46875 15/32 46.875%
0.484375 31/64 48.4375%
0.5 1/2 50%
0.515625 33/64 51.5625%
0.53125 17/32 53.125%
≈ 0.545455 6/11 ≈ 54.545455%
0.546875 35/64 54.6875%
≈ 0.555556 5/9 ≈ 55.555556%
0.5625 9/16 56.25%
≈ 0.571429 4/7 ≈ 57.142857%
0.578125 37/64 57.8125%
≈ 0.583333 7/12 ≈ 58.333333%
0.59375 19/32 59.375%
0.6 3/5 60%
0.609375 39/64 60.9375%
0.625 5/8 62.5%
≈ 0.636364 7/11 ≈ 63.636364%
0.640625 41/64 64.0625%
0.65625 21/32 65.625%
≈ 0.666667 2/3 ≈ 66.666667%
DecimalFractionPercent
0.671875 43/64 67.1875%
0.6875 11/16 68.75%
0.7 7/10 70%
0.703125 45/64 70.3125%
≈ 0.714286 5/7 ≈ 71.428571%
0.71875 23/32 71.875%
≈ 0.727273 8/11 ≈ 72.727273%
0.734375 47/64 73.4375%
0.75 3/4 75%
0.765625 49/64 76.5625%
≈ 0.777778 7/9 ≈ 77.777778%
0.78125 25/32 78.125%
0.796875 51/64 79.6875%
0.8 4/5 80%
0.8125 13/16 81.25%
≈ 0.818182 9/11 ≈ 81.818182%
0.828125 53/64 82.8125%
≈ 0.833333 5/6 ≈ 83.333333%
0.84375 27/32 84.375%
≈ 0.857143 6/7 ≈ 85.714286%
0.859375 55/64 85.9375%
0.875 7/8 87.5%
≈ 0.888889 8/9 ≈ 88.888889%
0.890625 57/64 89.0625%
0.9 9/10 90%
0.90625 29/32 90.625%
≈ 0.909091 10/11 ≈ 90.909091%
≈ 0.916667 11/12 ≈ 91.666667%
0.921875 59/64 92.1875%
0.9375 15/16 93.75%
0.953125 61/64 95.3125%
0.96875 31/32 96.875%
0.984375 63/64 98.4375%

Need a decimal that is not here? The converter turns any decimal exact, and nearest fraction finds the closest usable mark.

Common questions

How do I use this chart?
Scan the decimal column for the value you have — 0.4375, say — and read the fraction beside it: 7/16. The rows are sorted by size, so the nearest entries above and below are the nearest fractions when there is no exact match.
What if my decimal is not on the chart?
The chart holds the everyday fractions and the full 64ths rule. A decimal that is not here — 0.4 is, 0.41 is not — belongs to a fraction with a less common denominator; the decimal-to-fraction converter turns any of them exact, and the nearest-fraction tool finds the closest mark.
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.