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Fahrenheit to Celsius

Convert Fahrenheit to Celsius. Subtract 32 and multiply by 5/9, with reference tables for weather, body temperature and oven settings.

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The formula

celsius = (fahrenheit − 32) × 5/9

Temperature is the one conversion on this site that is not a multiplication. The two scales have different zero points as well as different step sizes, so the 32 has to come off before the scaling. Multiplying by 5/9 alone gives a wrong answer at every temperature except −40.

To go the other way, multiply by 9/5 and add 32. See Celsius to Fahrenheit.

Quick reference

FahrenheitCelsius
−40 °F−40 °Cthe scales cross here
0 °F−17.8 °C
32 °F0 °Cwater freezes
50 °F10 °C
68 °F20 °Croom temperature
72 °F22.2 °Ca common thermostat setting
86 °F30 °C
98.6 °F37 °Cbody temperature
212 °F100 °Cwater boils at sea level

Weather

FahrenheitCelsiusFeels like
0 °F−17.8 °Csevere cold
20 °F−6.7 °Chard frost
32 °F0 °Cfreezing
45 °F7.2 °Ccold
60 °F15.6 °Cmild
75 °F23.9 °Cwarm
85 °F29.4 °Chot
95 °F35 °Cvery hot
105 °F40.6 °Cdangerous

A useful landmark: the two scales agree on how hot “hot” sounds at 28 °C and 82 °F, which are close but not equal — 28 °C is 82.4 °F.

Body temperature

The famous 98.6 °F is a conversion artefact. The original nineteenth-century measurement was 37 °C, stated to two significant figures. Converting 37 exactly gives 98.6, which was then read as a precise figure in its own right and reported to three. Normal body temperature is a range of roughly 36.1–37.2 °C (97–99 °F), not a single number.

FahrenheitCelsius
97.0 °F36.1 °Clow end of normal
98.6 °F37.0 °Cthe traditional figure
100.4 °F38.0 °Cusual threshold for a fever
102.2 °F39.0 °Chigh fever
104.0 °F40.0 °Cseek help

Oven temperatures

Recipes round oven settings to whatever is a whole number on their own scale, so the two columns rarely match exactly:

FahrenheitCelsiusGas mark
275 °F135 °C1
325 °F163 °C3
350 °F177 °C4
375 °F191 °C5
400 °F204 °C6
425 °F218 °C7
450 °F232 °C8

British and European recipes usually give a rounded Celsius figure — 180 °C for 350 °F — and subtract about 20 °C for a fan oven.

Estimating in your head

Subtract 30, then halve. 75 °F − 30 = 45, halved is 22.5 °C against a true 23.9 °C. The method runs a degree or two low in the ordinary weather range and gets worse the further you go from it, but it is close enough to decide what to wear.