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Decimal to fraction chart

Three charts. The first is the one for a workshop: every 64th of an inch as a fraction in lowest terms, its exact decimal and its size in millimeters. The second covers the fractions school math uses, halves to twelfths and sixteenths, with the repeating ones marked by a bar. The third is sixteenths in type big enough for a wall.

Every decimal is worked out from the fraction and read back to check it matches exactly, so 1/3 shows as 0.3 with a bar rather than a rounded 0.33. An inch is exactly 25.4 millimeters.

Decimal to fraction chart, 1/64 inch

Every 64th of an inch as a fraction, an exact decimal and millimeters.

Decimal to fraction chart: inchesDecimal to fraction chart: inchesFractionDecimalmm1/640.0156250.3971/320.031250.7943/640.0468751.1911/160.06251.5875/640.0781251.9843/320.093752.3817/640.1093752.7781/80.1253.1759/640.1406253.5725/320.156253.96911/640.1718754.3663/160.18754.76313/640.2031255.1597/320.218755.55615/640.2343755.9531/40.256.35017/640.2656256.7479/320.281257.14419/640.2968757.5415/160.31257.93821/640.3281258.33411/320.343758.73123/640.3593759.1283/80.3759.52525/640.3906259.92213/320.4062510.31927/640.42187510.7167/160.437511.11329/640.45312511.50915/320.4687511.90631/640.48437512.3031/20.512.700FractionDecimalmm33/640.51562513.09717/320.5312513.49435/640.54687513.8919/160.562514.28737/640.57812514.68419/320.5937515.08139/640.60937515.4785/80.62515.87541/640.64062516.27221/320.6562516.66943/640.67187517.06611/160.687517.46245/640.70312517.85923/320.7187518.25647/640.73437518.6533/40.7519.05049/640.76562519.44725/320.7812519.84451/640.79687520.24113/160.812520.63753/640.82812521.03427/320.8437521.43155/640.85937521.8287/80.87522.22557/640.89062522.62229/320.9062523.01959/640.92187523.41615/160.937523.81261/640.95312524.20931/320.9687524.60663/640.98437525.0031125.400Shaded rows are sixteenths and larger. 1 inch = 25.4 mm exactly; millimeters rounded to 0.001.

Fraction to decimal chart

All 53 fractions in lowest terms with denominators 2 to 12 and 16, with repeating decimals marked.

Fraction to decimal chartFraction to decimal chartFractionDecimalPercent1/160.06256.25%1/120.083≈ 8.33%1/110.09≈ 9.09%1/100.110%1/90.1≈ 11.11%1/80.12512.5%1/70.142857≈ 14.29%1/60.16≈ 16.67%2/110.18≈ 18.18%3/160.187518.75%1/50.220%2/90.2≈ 22.22%1/40.2525%3/110.27≈ 27.27%2/70.285714≈ 28.57%3/100.330%5/160.312531.25%1/30.3≈ 33.33%4/110.36≈ 36.36%3/80.37537.5%2/50.440%5/120.416≈ 41.67%3/70.428571≈ 42.86%7/160.437543.75%4/90.4≈ 44.44%5/110.45≈ 45.45%1/20.550%FractionDecimalPercent6/110.54≈ 54.55%5/90.5≈ 55.56%9/160.562556.25%4/70.571428≈ 57.14%7/120.583≈ 58.33%3/50.660%5/80.62562.5%7/110.63≈ 63.64%2/30.6≈ 66.67%11/160.687568.75%7/100.770%5/70.714285≈ 71.43%8/110.72≈ 72.73%3/40.7575%7/90.7≈ 77.78%4/50.880%13/160.812581.25%9/110.81≈ 81.82%5/60.83≈ 83.33%6/70.857142≈ 85.71%7/80.87587.5%8/90.8≈ 88.89%9/100.990%10/110.90≈ 90.91%11/120.916≈ 91.67%15/160.937593.75%A bar over digits means they repeat forever: 0.3 with a bar is 0.333... The sign ≈ marks a rounded percent.

Sixteenths chart, large print

1/16 to 1 in big type for the wall.

Decimal to fraction chart: sixteenthsDecimal to fraction chart: sixteenths1/160.06251.59 mm1/80.1253.17 mm3/160.18754.76 mm1/40.256.35 mm5/160.31257.94 mm3/80.3759.53 mm7/160.437511.11 mm1/20.512.70 mm9/160.562514.29 mm5/80.62515.88 mm11/160.687517.46 mm3/40.7519.05 mm13/160.812520.64 mm7/80.87522.23 mm15/160.937523.81 mm1125.40 mmSixteenths of an inch, big enough to read from across a room