Decimal to Inch Converter

Turn decimals into inches for fast, accurate measuring. See fractional inches and feet‑inch breakdowns too. Download results as tables, CSV, or print‑ready PDFs easily.

Converter

Leave blank if you use the batch list.
Example: 12.5, 25.4, 100
Reset

Example data table

Decimal input Unit Expected inches (decimal) Expected inches (fraction, 1/16)
25.4 Millimeters (mm) 1.0000 1
2.5 Centimeters (cm) 0.9843 63/64
1.75 Feet (ft) 21.0000 21
3.125 Inches (in) 3.1250 3 1/8
Your output may differ slightly if you choose a different precision or fraction step.

Formula used

  1. inches = value × factor, where the factor depends on the selected unit.
  2. Exact unit factors used:
    • mm → inches: value ÷ 25.4
    • cm → inches: value × (10 ÷ 25.4)
    • m → inches: value × (1000 ÷ 25.4)
    • ft → inches: value × 12
    • yd → inches: value × 36
    • mi → inches: value × 63360
  3. Fraction rounding: numerator = round((fractional_part × denominator)), then reduce by the greatest common divisor.
  4. Feet-inches split: feet = floor(inches ÷ 12), remainder = inches − 12×feet.

How to use this calculator

  • Enter a single decimal value, or paste multiple values in the batch box.
  • Select the unit you are starting with (mm, cm, m, ft, yd, mi, or inches).
  • Choose decimal precision for the inches output.
  • Select a fraction step to match your measuring tool.
  • Press Submit to show results above this form.
  • Use the CSV or PDF buttons to export the result table.

Article

Why decimal-to-inch conversion matters

Decimal dimensions show up in CAD, spreadsheets, and lab reports, while many tapes and drill charts use inches and fractions. Converting early avoids rework and mismatched parts. For instance, 12.70 mm converts to 0.5000 in, matching common half‑inch fasteners and tooling. Consistent conversion rules help teams compare tolerances across mixed unit sources.

Exact anchors behind the unit factors

The calculator uses fixed references: 1 in = 25.4 mm exactly, 1 ft = 12 in, 1 yd = 36 in, and 1 mi = 63,360 in. From these, 1 m equals 39.3700787 in. Because anchors are exact, rounding is applied only to displayed results, keeping batch outputs stable when you change precision or fraction steps.

Fraction steps for readable shop results

Fraction output rounds the decimal remainder to denominators 2, 4, 8, 16, 32, or 64. A 3.125 in value becomes 3 1/8 at a 1/8 step. A 0.9843 in value approximates 63/64 at a 1/64 step. Smaller steps preserve detail, while 1/16 is often fastest to read on typical tape markings.

Feet-and-inches formatting for long lengths

Field measurements are often communicated in feet plus inches. The tool computes feet as floor(in ÷ 12) and converts the remaining inches to the chosen fraction. An input of 1.75 ft becomes 21.0000 in, shown as 1 ft 9 in. This view helps with cut lists, clearance checks, and quick verbal handoffs.

Choosing precision with error budgeting

Precision should reflect your tolerance. Displaying 4 decimals gives 0.0001 in resolution, equal to 0.00254 mm. If your allowance is ±0.10 mm, that display granularity is ample. For rough layout, 2 decimals may be enough because 0.01 in ≈ 0.254 mm. Use higher precision when validating gauges or stack‑ups.

Batch conversion for tables and reporting

Batch mode accepts values separated by commas or new lines, producing a results table you can export as CSV or PDF. This supports BOMs, calibration logs, homework datasets, and inspection sheets. Keep the original input column beside the converted inches to audit transformations later. Reusing the same fraction step makes comparisons consistent across revisions. When exporting, the PDF view is ideal for printing, while CSV suits analysis in spreadsheets and scripts for repeatable workflows in production settings daily.

FAQs

How does metric input convert to inches?

Yes. Millimeters convert using the exact definition 1 inch = 25.4 mm, so inches = mm ÷ 25.4. Centimeters use cm × (10 ÷ 25.4), and meters use m × (1000 ÷ 25.4).

What fraction step should I choose?

Pick the denominator that matches your measuring tool. Use 1/16 for most tape measures, 1/32 for finer layout, and 1/64 for precision work. Larger steps like 1/8 are faster to read but less detailed.

Why does the fraction change when I change settings?

Fractions are rounded to the selected step, independent of the decimal precision setting. If you change the denominator, the nearest fraction can change. Decimal precision only affects the displayed decimal-inch column.

How do I convert many values at once?

Use Batch values to paste a list separated by commas or new lines. Each item is converted using the same unit, precision, and fraction step, so your exported table stays consistent across the full dataset.

How is feet‑inches calculated?

Feet are computed as floor(total_inches ÷ 12). The remaining inches are then converted into a mixed fraction using your chosen denominator. This keeps the inches part within 0 to under 12 for easier reading.

What’s the difference between CSV and PDF export?

CSV is best for spreadsheet analysis and sorting. PDF is best for printing or sharing a fixed layout. Both exports reflect the same rounding and fraction step used in the displayed results.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.