Percentages as fractions

Percent means per hundred, so every percentage is already a fraction — the work is reducing it. Each page here shows that work. Pages live at /percents/37-5/, the digits with a dash where the point goes.

Every whole percentage

1% 1/100 2% 1/50 3% 3/100 4% 1/25 5% 1/20 6% 3/50 7% 7/100 8% 2/25 9% 9/100 10% 1/10 11% 11/100 12% 3/25 13% 13/100 14% 7/50 15% 3/20 16% 4/25 17% 17/100 18% 9/50 19% 19/100 20% 1/5 21% 21/100 22% 11/50 23% 23/100 24% 6/25 25% 1/4 26% 13/50 27% 27/100 28% 7/25 29% 29/100 30% 3/10 31% 31/100 32% 8/25 33% 33/100 34% 17/50 35% 7/20 36% 9/25 37% 37/100 38% 19/50 39% 39/100 40% 2/5 41% 41/100 42% 21/50 43% 43/100 44% 11/25 45% 9/20 46% 23/50 47% 47/100 48% 12/25 49% 49/100 50% 1/2 51% 51/100 52% 13/25 53% 53/100 54% 27/50 55% 11/20 56% 14/25 57% 57/100 58% 29/50 59% 59/100 60% 3/5 61% 61/100 62% 31/50 63% 63/100 64% 16/25 65% 13/20 66% 33/50 67% 67/100 68% 17/25 69% 69/100 70% 7/10 71% 71/100 72% 18/25 73% 73/100 74% 37/50 75% 3/4 76% 19/25 77% 77/100 78% 39/50 79% 79/100 80% 4/5 81% 81/100 82% 41/50 83% 83/100 84% 21/25 85% 17/20 86% 43/50 87% 87/100 88% 22/25 89% 89/100 90% 9/10 91% 91/100 92% 23/25 93% 93/100 94% 47/50 95% 19/20 96% 24/25 97% 97/100 98% 49/50 99% 99/100

The eighths and sixteenths

The percentages that land between the whole numbers, because eighths and sixteenths do not divide 100 evenly.

6.25% 1/16 12.5% 1/8 18.75% 3/16 31.25% 5/16 37.5% 3/8 43.75% 7/16 56.25% 9/16 62.5% 5/8 68.75% 11/16 81.25% 13/16 87.5% 7/8 93.75% 15/16

Not here? A percentage whose digits repeat — 33.(3)% for 1/3 — has no exact decimal form, so it has no page. The converter handles those exactly, including forms like 12 1/2%.

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.