Inch to mm Converter
Convert inches to millimetres with precision. Supports decimal and fractional inch inputs for accurate measurements.
Quick Conversions
Conversion Formula and Calculation Steps
The standard conversion formula is:
This relationship is exact, established by international agreement in 1959. One inch equals precisely 25.4 millimetres.
Step-by-Step Conversion Process
Example 1: Converting 5 inches to millimetres
- Start with the measurement: 5 inches
- Multiply by the conversion factor: 5 × 25.4
- Calculate the result: 127 mm
- Final answer: 5 inches = 127 millimetres
Example 2: Converting 3/4 inch to millimetres
- Convert the fraction to decimal: 3 ÷ 4 = 0.75 inches
- Multiply by 25.4: 0.75 × 25.4
- Calculate: 19.05 mm
- Final answer: 3/4 inch = 19.05 millimetres
Example 3: Converting millimetres to inches
- Start with: 100 mm
- Divide by 25.4: 100 ÷ 25.4
- Calculate: 3.937 inches
- Final answer: 100 mm = 3.937 inches
Common Inch to Millimetre Conversions
Decimal Inches to Millimetres
| Inches (in) | Millimetres (mm) | Common Application |
|---|---|---|
| 0.01 in | 0.254 mm | Precision engineering |
| 0.1 in | 2.54 mm | Small components |
| 1 in | 25.4 mm | Standard reference |
| 2 in | 50.8 mm | Pipe fittings |
| 3 in | 76.2 mm | Construction materials |
| 4 in | 101.6 mm | Timber dimensions |
| 5 in | 127 mm | Engineering drawings |
| 6 in | 152.4 mm | Screen sizes |
| 8 in | 203.2 mm | Tablet displays |
| 10 in | 254 mm | Tile spacing |
| 12 in | 304.8 mm | One foot measurement |
| 24 in | 609.6 mm | Monitor screens |
| 36 in | 914.4 mm | Fabric widths |
| 48 in | 1219.2 mm | Sheet materials |
Fractional Inches to Millimetres
| Fraction | Decimal (in) | Millimetres (mm) |
|---|---|---|
| 1/64 in | 0.0156 in | 0.397 mm |
| 1/32 in | 0.0312 in | 0.794 mm |
| 1/16 in | 0.0625 in | 1.588 mm |
| 1/8 in | 0.125 in | 3.175 mm |
| 3/16 in | 0.1875 in | 4.763 mm |
| 1/4 in | 0.25 in | 6.35 mm |
| 5/16 in | 0.3125 in | 7.938 mm |
| 3/8 in | 0.375 in | 9.525 mm |
| 7/16 in | 0.4375 in | 11.113 mm |
| 1/2 in | 0.5 in | 12.7 mm |
| 5/8 in | 0.625 in | 15.875 mm |
| 3/4 in | 0.75 in | 19.05 mm |
| 7/8 in | 0.875 in | 22.225 mm |
| 1 in | 1.0 in | 25.4 mm |
Imperial and Metric Measurement Systems
The inch belongs to the imperial system, which originated in the British Empire and remains prevalent in the United Kingdom and United States. The millimetre forms part of the metric system, officially known as the International System of Units (SI), adopted by most countries worldwide.
The Inch
System: Imperial / US Customary
Symbol: in or ″
Definition: 1/12 of a foot, 1/36 of a yard
Metric equivalent: Exactly 25.4 mm
Historical origin: Derived from the Roman “uncia” meaning one-twelfth
The Millimetre
System: Metric (SI)
Symbol: mm
Definition: 1/1000 of a metre
Imperial equivalent: Approximately 0.03937 inches
Base unit: Derived from the metre, defined by the speed of light
Historical Context
The inch has ancient origins, with early definitions based on physical references such as the width of a thumb or the length of three barleycorns placed end to end. The current standardised definition of 25.4 millimetres per inch was established through the International Yard and Pound Agreement of 1959, which harmonised measurements between English-speaking nations.
The millimetre emerged as part of the metric system developed in France during the late 18th century. This decimal-based system was designed for simplicity and consistency, with each unit related by powers of ten. The United Kingdom officially adopted the metric system for most applications in 1965, though imperial measurements remain in common usage for certain applications.
UK Measurement Practice: The United Kingdom employs a mixed system where both imperial and metric measurements coexist. Road distances and speeds remain in miles and miles per hour, whilst construction and manufacturing predominantly use metric units. This dual system necessitates frequent conversions between inches and millimetres, particularly in engineering, construction, and manufacturing sectors.
Practical Applications and Industries
Construction and Building Trades
Construction professionals regularly convert between inches and millimetres when working with materials from different manufacturers. British timber often comes in imperial sizes (such as 2×4 inches), whilst fixings and hardware are typically specified in metric dimensions. Accurate conversion prevents costly errors in material ordering and installation.
Engineering and Manufacturing
Precision engineering requires exact conversions between measurement systems. British engineers often work with technical drawings that include both imperial and metric dimensions. CNC machining, tolerance specifications, and component fitting all depend on accurate inch-to-millimetre conversions, where even small discrepancies can compromise product quality.
Electronics and Display Screens
Display screens are universally measured in inches (such as 27-inch monitors or 10-inch tablets), whilst internal components and circuit board dimensions use millimetres. Technical specifications for electronic devices routinely include both measurements, requiring clear conversion standards.
Plumbing and Pipe Fittings
Plumbing systems in the UK often use imperial pipe sizes (1/2 inch, 3/4 inch, 1 inch), whilst pipe wall thicknesses and fitting tolerances are specified in millimetres. Understanding these conversions prevents fitting incompatibilities and system failures.
Fabric and Textiles
Fabric widths commonly appear in inches (45 inches, 60 inches), particularly for imported materials, whilst pattern measurements and seam allowances frequently use metric units. Garment manufacturing and home sewing both require proficiency in converting between these systems.
Measurement Comparison and Visualisation
Very Small Measurements
1/64 inch = 0.397 mm
Thickness of a credit card
Fine mechanical tolerances
Small Measurements
1/4 inch = 6.35 mm
Pencil diameter
Small screw head
Medium Measurements
1 inch = 25.4 mm
Standard button size
Bottle cap diameter
Larger Measurements
12 inches = 304.8 mm
Ruler length (1 foot)
A4 paper width (approximately)
Relative Size Comparisons
| Object | Approximate Size (inches) | Approximate Size (mm) |
|---|---|---|
| £1 coin diameter | 0.87 in | 22.5 mm |
| Credit card thickness | 0.03 in | 0.76 mm |
| Standard brick length | 8.5 in | 215 mm |
| A4 paper length | 11.7 in | 297 mm |
| Smartphone width | 2.8 in | 71 mm |
| Door thickness (standard) | 1.4 in | 35 mm |
