Direct answer
Divide the fraction's numerator by its denominator, then multiply the decimal result by 2.54.
For a mixed number, add the whole-number portion to the decimal value of the fraction before multiplying by 2.54.
How to convert a simple fraction
A simple fraction has a numerator above a denominator, such as 3/4 inch. The numerator shows how many parts are present, while the denominator shows how many equal parts make one whole inch.
- Divide the numerator by the denominator.
- Multiply the decimal result by 2.54.
- Round only if the intended use allows rounding.
- Write the result in centimeters.
Example: convert 3/4 inch
3 / 4 = 0.75
0.75 x 2.54 = 1.905
3/4 inch = 1.905 centimetersHow to convert a mixed number
A mixed number combines whole inches with a fraction, such as 2 1/2 inches. Convert the fraction and add it to the whole number.
Example: convert 2 1/2 inches
1 / 2 = 0.5
2 + 0.5 = 2.5 inches
2.5 x 2.54 = 6.35
2 1/2 inches = 6.35 centimetersExample: convert 5 3/8 inches
3 / 8 = 0.375
5 + 0.375 = 5.375 inches
5.375 x 2.54 = 13.6525
5 3/8 inches = 13.6525 centimetersCommon fractional-inch conversions
| Fractional inch | Decimal inch | Centimeters |
|---|---|---|
| 1/16 in | 0.0625 in | 0.15875 cm |
| 1/8 in | 0.125 in | 0.3175 cm |
| 3/16 in | 0.1875 in | 0.47625 cm |
| 1/4 in | 0.25 in | 0.635 cm |
| 3/8 in | 0.375 in | 0.9525 cm |
| 1/2 in | 0.5 in | 1.27 cm |
| 5/8 in | 0.625 in | 1.5875 cm |
| 3/4 in | 0.75 in | 1.905 cm |
| 7/8 in | 0.875 in | 2.2225 cm |
| 15/16 in | 0.9375 in | 2.38125 cm |
Halves, quarters, eighths, and sixteenths
Inch rulers commonly divide each inch into halves, quarters, eighths, or sixteenths. The denominator tells you the number of divisions in one inch.
Halves
One-half inch is 0.5 inch. Multiplying 0.5 by 2.54 gives 1.27 centimeters.
Quarters
One-quarter inch is 0.25 inch, while three-quarters of an inch is 0.75 inch. These equal 0.635 centimeter and 1.905 centimeters.
Eighths
Each eighth of an inch is 0.125 inch. For example, five-eighths of an inch is 0.625 inch, which equals 1.5875 centimeters.
Sixteenths
Each sixteenth of an inch is 0.0625 inch. These smaller divisions are common in woodworking, hardware, and detailed manual measurement.
Using the converter with fractions
The Inches to Centimeters Converter accepts several fraction formats, including:
- 1/2
- 3/4
- 7/8
- 2 1/2
- 5 3/16
The calculator converts the entered fraction to a numeric value and then applies the exact 2.54 conversion factor.
Example: convert 7/16 inch
7 / 16 = 0.4375
0.4375 x 2.54 = 1.11125
7/16 inch = 1.11125 centimetersThis could also be written as 11.1125 millimeters. Millimeters may be more convenient than a long decimal in centimeters when working with small dimensions.
Example: convert 1 7/8 inches
7 / 8 = 0.875
1 + 0.875 = 1.875 inches
1.875 x 2.54 = 4.7625
1 7/8 inches = 4.7625 centimetersWhen millimeters may be easier
Small fractional-inch measurements often produce centimeter results with several decimal places. Converting directly to millimeters can make the number easier to use.
For example, 1/8 inch equals 0.3175 centimeter, which is also 3.175 millimeters. The length is identical, but the millimeter number may be easier to read on a technical drawing or measuring tool.
Rounding fractional-inch conversions
The exact result may contain more decimal places than you need. Choose the rounding level based on the task.
- For an approximate craft measurement, one decimal place may be sufficient.
- For product dimensions, two decimal places may be appropriate.
- For precision work, keep more digits or use millimeters.
- For fitted parts, follow the tolerance specified by the design.
For example, 5/16 inch equals 0.79375 centimeter. It may be rounded to 0.79 centimeter, but that rounded value should not be used where the full precision is required.
Where fractional inches are commonly used
Rulers and measuring tapes
Many inch-based rulers mark halves, quarters, eighths, and sixteenths rather than decimal inches.
Woodworking and construction
Boards, cuts, gaps, and fasteners may be specified using mixed numbers such as 12 3/8 inches.
Sewing and crafts
Seam allowances and pattern dimensions commonly use values such as 1/4, 3/8, 1/2, and 5/8 inch.
Tools and hardware
Drill bits, sockets, screws, bolts, and fittings may use fractional-inch labels. A converted metric dimension is useful for comparison, but nominal sizes are not always directly interchangeable.
Common fraction conversion mistakes
Reading 3/8 as 0.38
Three-eighths is 0.375, not 0.38. Divide the numerator by the denominator instead of treating the fraction as decimal digits.
Ignoring the whole number
A value of 2 1/4 inches is 2.25 inches, not 0.25 inch.
Multiplying only the fraction by 2.54
Convert the entire mixed number into decimal inches before applying the conversion factor.
Rounding the fraction too early
Keep the exact decimal form when possible. Early rounding can create noticeable differences in precise work.
Related inches to centimeters guides
Frequently asked questions
How do you convert fractional inches to centimeters?
Divide the numerator by the denominator, add any whole inches, and multiply the total by 2.54.
How many centimeters is half an inch?
One-half inch is exactly 1.27 centimeters.
How many centimeters is three-quarters of an inch?
Three-quarters of an inch is exactly 1.905 centimeters.
How many centimeters is one-eighth inch?
One-eighth inch is exactly 0.3175 centimeter.