CM to Inches Calculator
Enter a length in centimeters and get decimal inches, the nearest fraction of an inch, feet and inches, millimeters and meters. One inch is exactly 2.54 centimeters, so 175 cm is 68.8976 inches, or 5 ft 8 7/8 in to the nearest sixteenth.
Last updated November 4, 2026
Decimal centimeters, 0 up to 1,000,000.
Result
175 cm = 68.8976 in ≈ 68 7/8 in
| Unit | Length |
|---|---|
| Inches (decimal) | 68.8976 |
| Inches (nearest 1/16) | 68 7/8 in |
| Feet and inches | 5 ft 8 7/8 in |
| Millimeters | 1,750 |
| Meters | 1.75 |
| Fraction rounding error | 0.575 mm |
| Centimeters | Inches | Feet and inches |
|---|---|---|
| 150 | 59.0551 | 4 ft 11 1/16 in |
| 160 | 62.9921 | 5 ft 3 in |
| 170 | 66.9291 | 5 ft 6 15/16 in |
| 180 | 70.8661 | 5 ft 10 7/8 in |
| 190 | 74.8031 | 6 ft 2 13/16 in |
The fraction is reduced (8/16 shows as 1/2) and carried into feet at 12 inches. The decimal inches are not rounded to a fraction.
Show the work
Formula: inches = centimeters ÷ 2.54 (exact). Fraction = round(inches × denominator) ÷ denominator, reduced.
- You entered 175 cm.
- Decimal inches: 175 ÷ 2.54 = 68.8976 in.
- Rounding to 1/16: 68.8976 × 16 = 1,102.3622, rounded to 1102, so 68 7/8 in.
- Feet and inches: 5 ft (12 in each) and 8 7/8 in, that is 5 ft 8 7/8 in.
- Millimeters: 175 × 10 = 1,750 mm. Meters: 175 ÷ 100 = 1.75 m.
Result: 175 cm = 68.8976 in ≈ 68 7/8 in
How centimeters convert to inches
inches = centimeters ÷ 2.54
fraction = round(inches × denominator) ÷ denominator
feet = whole inches ÷ 12
The inch is defined through the metric system. Under the international yard and pound agreement of 1959, one inch is exactly 25.4 millimeters, which is 2.54 centimeters. Because the factor is a definition and not a measurement, it carries no rounding. Any gap between two converters comes from how each one rounds the answer.
To go from centimeters to inches, divide by 2.54. A length of 10 cm is 10 ÷ 2.54 = 3.937 inches. Dividing is the same as multiplying by about 0.3937, which is the reciprocal of 2.54, and is the shortcut many people use when they do the sum in their head.
The decimal answer is exact to the digits shown, but a tape measure does not show decimals. This calculator therefore also multiplies the decimal inches by a denominator (8, 16, 32 or 64), rounds to the nearest whole number of those parts and reduces the fraction, so 8/16 appears as 1/2. The rounding error in millimeters is listed beside it so you can see how much the fraction moved the length.
For feet and inches, the rounded length is split at twelve inches per foot. If the rounded fraction reaches a full inch it is carried into the whole inches, and a full twelve inches is carried into the feet.
See how we calculate for the formulas, sources and review schedule behind every calculator.
Also useful alongside this calculator: Feet to Meters Converter and Meters to Feet Converter.
Converting height from cm to feet and inches
Height is the most common reason people look for this conversion. In most of the world a person is measured in centimeters, while in the United States height is given as feet and inches. Enter your height in centimeters and read the Feet and inches row, for example 175 cm is 5 ft 8 7/8 in at 1/16 precision.
Most forms ask for whole inches only. In that case take the decimal inches and round them yourself: 175 cm is 68.8976 inches, which rounds to 69 inches, that is 5 ft 9 in. Check which rounding the form expects, because rounding down would give 5 ft 8 in.
Choosing the fraction precision
A woodworking rule is usually marked in sixteenths, a machinist rule in thirty-seconds or sixty-fourths, and a household tape in eighths or sixteenths. Pick the denominator that matches your tool.
The fraction is always the nearest one, so it can be slightly above or below the true length. The rounding error row shows the difference. At 1/16 inch the largest possible error is half of a sixteenth, which is about 0.79 mm.
Going back from inches to centimeters
The reverse direction multiplies by 2.54. Twelve inches is 30.48 cm and 36 inches is 91.44 cm. Because both directions use the same exact factor, a length converted forward and back returns to the value you started with, apart from the rounding of the display.
If your measurement is in inches, use the inches to cm calculator, which accepts mixed numbers like 5 3/8. For millimeters on a technical drawing, the mm to inches calculator does the same job from millimeters.
How to use the CM to Inches Calculator
- Type the length in the Centimeters box. Decimals are fine.
- Choose the fraction precision that matches your ruler, such as 1/16 inch.
- Read the decimal inches in the headline and the nearest fraction in the list.
- Use the Feet and inches row for heights and longer lengths.
- Open Show the work to see each step, or use Copy, Print or Share.
Worked example
A person is 175 cm tall. Dividing by 2.54 gives 68.8976 inches. Multiplying by 16 gives 1,102.36, which rounds to 1,102 sixteenths, so 68 14/16, reduced to 68 7/8 inches. Twelve inches per foot gives 5 feet with 8 7/8 inches left, so 5 ft 8 7/8 in.
| Centimeters | Decimal inches | Feet and inches |
|---|---|---|
| 10 | 3.937 | 3 15/16 in |
| 30 | 11.811 | 11 13/16 in |
| 100 | 39.3701 | 3 ft 3 3/8 in |
| 150 | 59.0551 | 4 ft 11 1/16 in |
| 175 | 68.8976 | 5 ft 8 7/8 in |
| 180 | 70.8661 | 5 ft 10 7/8 in |
Frequently asked questions
How many inches are in a centimeter?
One centimeter is about 0.3937 inches. It is the reciprocal of the exact definition of 2.54 centimeters per inch, so you divide by 2.54 for an exact result.
How do I convert cm to inches by hand?
Divide the centimeters by 2.54. For example 50 cm ÷ 2.54 = 19.685 inches. For a quick estimate, multiply by 0.4, which is slightly high.
How tall is 170 cm in feet and inches?
A height of 170 cm is 66.9291 inches, which is 5 feet 6 15/16 inches to the nearest sixteenth, or about 5 ft 7 in when rounded to whole inches.
Is the 2.54 factor exact or rounded?
It is exact. Since the 1959 international agreement an inch is defined as 25.4 millimeters, so 2.54 centimeters has no further digits.