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Height converter · Enter centimetres, get feet and inches with fractions — free and instant
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175 cm = 5 ft 8.9 in — written 5'8.9", or 5 ft 8⅞ in to the nearest eighth of an inch. The converter above runs the same calculation for any height you enter.
Height needs two steps, because the answer is a compound measure. First divide the centimetres by 2.54 to get the total inches — 1 inch is exactly 2.54 cm by international definition. Then divide the inches by 12: the whole number is the feet, and the remainder is the inches. Worked in full: 175 ÷ 2.54 = 68.8976 inches in total, and 68.8976 ÷ 12 = 5 with 8.9 left over, so 175 cm = 5 ft 8.9 in. Results here are rounded to one decimal place on the inches (the 5 ft 8⅞ in figure is the same height rounded to the nearest eighth), which is how heights are conventionally quoted.
A quick reference for the heights people look up most. The full height chart covers every centimetre from 140 to 210 cm.
| Centimeters (cm) | Feet & inches | As a fraction |
|---|---|---|
| 140 cm | 4 ft 7.1 in | 4 ft 7⅛ in |
| 150 cm | 4 ft 11.1 in | 4 ft 11⅛ in |
| 160 cm | 5 ft 3 in | 5 ft 3 in |
| 165 cm | 5 ft 5 in | 5 ft 5 in |
| 170 cm | 5 ft 6.9 in | 5 ft 6⅞ in |
| 175 cm | 5 ft 8.9 in | 5 ft 8⅞ in |
| 180 cm | 5 ft 10.9 in | 5 ft 10⅞ in |
| 185 cm | 6 ft 0.8 in | 6 ft 0¾ in |
| 190 cm | 6 ft 2.8 in | 6 ft 2¾ in |
| 200 cm | 6 ft 6.7 in | 6 ft 6¾ in |
| 210 cm | 6 ft 10.7 in | 6 ft 10¾ in |
Three mistakes account for most wrong height conversions. First, treating decimal feet as feet-and-inches: 5.9 ft is 5 ft 10.8 in, not 5 ft 9 in. Second, using 2.5 cm per inch as if it were exact — the true figure is exactly 2.54 cm, and the shortcut drifts by about 1.6%, roughly a centimetre on an adult height. Third, rounding the total inches before splitting them into feet and inches, which can push a borderline result across a whole-inch boundary; round only the final inches figure.
If you only need decimal feet rather than feet-and-inches, the Centimeter to Foot converter gives that form directly.
Divide the centimetres by 2.54 to get the total inches (1 inch is exactly 2.54 cm), then divide the inches by 12 — the whole number is the feet and the remainder is the inches. For example, 175 cm ÷ 2.54 = 68.8976 inches, which is 5 ft 8.9 in.
175 cm is 5 ft 8.9 in (written 5'8.9"), or 5 ft 8⅞ in to the nearest eighth of an inch.
There are exactly 12 inches in a foot. That is why the conversion splits total inches into groups of 12, with the leftover inches shown after the feet.
One inch is exactly 2.54 centimetres — this is the exact international definition of the inch, so height conversions built on it carry no approximation error.
5 ft 9 in is 175.26 cm: (5 × 12 + 9) = 69 inches, and 69 × 2.54 = 175.26 cm. Use the Feet & Inches to Centimeter converter to run the reverse direction for any height.
Feet and inches are the conventional way heights are stated in the United States and often in the UK and Canada. Beware the common mix-up: 5.9 decimal feet is 5 ft 10.8 in, not 5 ft 9 in — the two notations are not interchangeable.
The full height cluster: both converter directions, the complete chart, and the individual height pages.
Need the opposite direction? Use the feet-inches to Centimeter Converter to convert feet-inches back to centimeter.
Browse every tool in this category on the Length Converter hub page.
Centimeters to Feet & Inches
Height Converter
175 cm = 5 ft 8.9 in
5'8.9" · 5 ft 8⅞ in (nearest ⅛ in) · 68.8976 in total