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Centimeters to Inches Converter

Enter the length in centimeters below to convert it to inches.

Convert Centimeters to Inches

Enter a value in centimeters (cm) to convert to inches (in).

Result
•
5.118110236inches
Nearest 1/16″ Tape5 1/8 in
Nearest 1/32″ Fine5 1/8 in
Nearest 1/64″ Machinist5 1/8 in
Feet & Inches (ft + in)0 ft 5.12 in (0' 5 1/8")
1/16″ Shop Tape Measure Readout
Nearest 1/16″: 5 1/8″1/32″: 5 1/8″1/64″: 5 1/8″
5 1/8″
5″
1/2
6″
1/2
7″
Exact Decimal: 5.1181 in (13 cm)Tape Mark (1/16″): 5 1/8″ (5.125 in) · Error: ±0.0069″
13 cm = 5.118110236 in
Result updates automatically
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Equivalent Measurements Across UnitsFor 13 cm
Nearest 1/16" Fraction5 1/8 in
Millimeters130 mm
Meters0.13 m
Inches5.11811 in
Feet0.42651 ft
Yards0.14217 yd
Suggested Conversions
Reference:NIST OWM (SI Units — Length)
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Centimeters to Inches Conversion Chart (1–40 Continuous)

Continuous 1 to 40 centimeters lookup table with exact decimals and reduced nearest 1/64 fractions. Highlighted rows mark common shop and ruler values.

Common values highlighted · Round-half-up & reduced to lowest terms
Centimeters (cm)Decimal (in)Fraction — Nearest 1/64 (Reduced)Nearest 1/16 (Tape)
1 cm★ Common
0.393701 in25/64 in
3/8 in
2 cm★ Common
0.787402 in25/32 in
13/16 in
3 cm★ Common
1.181102 in1 3/16 in
1 3/16 in
4 cm
1.574803 in1 37/64 in
1 9/16 in
5 cm★ Common
1.968504 in1 31/32 in
1 15/16 in
6 cm★ Common
2.362205 in2 23/64 in
2 3/8 in
7 cm
2.755906 in2 3/4 in
2 3/4 in
8 cm★ Common
3.149606 in3 5/32 in
3 1/8 in
9 cm
3.543307 in3 35/64 in
3 9/16 in
10 cm★ Common
3.937008 in3 15/16 in
3 15/16 in
11 cm
4.330709 in4 21/64 in
4 5/16 in
12 cm★ Common
4.724409 in4 23/32 in
4 3/4 in
UnitConvertersGo · https://unitconvertersgo.com/length/cm-to-inches

How to Convert Centimeters to Inches

To convert centimeters to inches, multiply the length by the following conversion ratio: 0.3937008 inches/centimeter.

Since one centimeter is equal to 0.3937008 inches, you can use this simple formula to convert:

inches = centimeters × 0.3937008

The length in inches is equal to the length in centimeters multiplied by 0.3937008.

For example, here's how to convert 13 centimeters to inches using the formula above.

inches = (13 cm × 0.3937008) = 5.1181102 in

How Many Inches Are in a Centimeter?

There are 0.3937008 inches in a centimeter, which is why we use this value in the formula above.

1 cm = 0.3937008 in|1 in = 2.54 cm

Our centimeter fraction and decimal calculator can convert centimeters and inches, and it automatically converts the results to US customary, imperial, and SI metric values.

Centimeters and inches are both units used to measure length. Keep reading to learn more about each unit.

How to Convert Centimeters to Fractional Inches (1/16″, 1/32″ & 1/64″)

Plain-language method for turning decimal inches into a standard tape-measure or machinist ruler fraction

Calculators give you a decimal number (such as 5.11811 in), but tape measures and woodworking rulers are marked in binary fractions of an inch—most commonly 1/16″ on carpenter tapes, 1/32″ on fine woodworking rules, and 1/64″ on machinist scales.

Here is the step-by-step worked example for converting 13 centimeters (cm) into fractional inches:

  1. Find the decimal inches result: Convert 13 cm to inches to get 5.11811 in.
  2. Separate the whole inches from the decimal part: Keep the whole number 5 aside, leaving the decimal remainder 0.11811.
  3. Multiply the decimal part by your desired fraction denominator (16, 32, or 64) and round half up: Multiply 0.11811 by 16, 32, or 64, then round to the nearest whole number (values ending in .5 round up).
  4. Reduce the fraction to lowest terms: If the rounded top number (numerator) is even, divide both top and bottom by 2 (or their Greatest Common Divisor) until the top number is odd, then combine with your whole inches.
Nearest 1/16″ (Tape Measure)
0.11811 × 16 = 1.8898
Round half up → 2/16
Reduced: 1/8
= 5 1/8 in
Nearest 1/32″ (Woodworking Rule)
0.11811 × 32 = 3.7795
Round half up → 4/32
Reduced: 1/8
= 5 1/8 in
Nearest 1/64″ (Machinist Scale)
0.11811 × 64 = 7.5591
Round half up → 8/64
Reduced: 1/8
= 5 1/8 in

What Is a Centimeter?

A centimeter is a metric unit of length equal to one-hundredth (1/100) of a meter, which is the International System of Units (SI) base unit of length. One centimeter is also equal to 10 millimeters or approximately 0.39370079 inches. [1]

The centimeter, or centimetre, is part of the SI metric system used worldwide for everyday, scientific, and clinical measurements. Centimeters can be abbreviated as cm; for example, 1 centimeter can be written as 1 cm.

In the metric system, "centi" is the Latin-derived prefix for hundredths, or 10⁻². Because 1 international inch is legally defined as 2.54 centimeters, converting between centimeters and inches is anchored by an exact mathematical constant.

A standard fingernail or the width of a standard AAA battery is approximately 1 centimeter (10 mm) across.

Centimeters are measured using metric rulers, tailor's measuring tapes, stadiometers (for human height), and vernier calipers across carpentry, apparel sizing, school science, and medical charts.

What Is an Inch?

An inch is a unit of length equal to 1/12 of a foot or 1/36 of a yard. Because the international yard is legally defined as exactly 0.9144 meters under the 1959 International Yard and Pound Agreement, one inch equals exactly 2.54 centimeters (25.4 millimeters or 25,400,000 nanometers). [2]

The inch is a US customary and imperial unit of length. Inches can be abbreviated as in; for example, 1 inch can be written as 1 in.

Inches can also be denoted using the ″ symbol, otherwise known as a double prime. Often a double quote (") is used instead of a double prime for convenience. A double prime is commonly used to express 1 in as 1″.

A US quarter coin is .955" (24.26 mm) in diameter, which is just smaller than 1".

The standard ruler is 12 inches long and is a common tool for measuring a length in inches. Another frequently used tool to perform measurements in inches is a tape measure, which commonly comes in lengths from 6' to 35'. Other devices used to measure in inches include scales, calipers, measuring wheels, micrometers, yardsticks, and even lasers.

When converting length between centimeters (cm) and inches (in), keep full floating-point precision (1 cm = 0.3937008 in; 1 in = 2.54 cm) during intermediate calculations and round only the final inch figure to match your instrument tolerance.

More Centimeter & Inch Conversions

Need to calculate in the opposite direction? Use our inches to centimeters converter (in to cm) to switch your starting unit immediately. You can also explore related tools such as converting millimeters to inches, converting meters to feet, or converting feet to inches.

Frequently Asked Questions

13 cm equals 5.1181 inches (about 5 1/8 inches on a tape measure). Calculation: 13 ÷ 2.54 = 5.1181102 in.

References

NIST · BIPM · ISO
  1. [1]
    NIST OWM (SI Units — Length)·Length Metrology Standard — Centimeters (cm) to Inches (in)
    NIST OWM Standard
  2. [2]
    BIPM (SI Base Unit: Metre (m))·Unit Specifications: Centimeter (cm) & Inch (in)
    BIPM Specification
  3. [3]
    NIST HB 133 (NIST Handbook 133 (2019 Ed.))·Conversion Factors & Mathematical Basis (cm to in)
    NIST HB 133 Reference
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