Temperature Converter

Convert between Celsius, Fahrenheit and Kelvin.

Converting temperature

Temperature is the one conversion on this site that needs both a scale factor and an offset, because the scales do not share a zero point. That is why you cannot convert a temperature by multiplying alone, and why converting a temperature difference uses a different rule from converting a temperature.

F = (C x 9/5) + 32
C = (F - 32) x 5/9
K = C + 273.15
C = K - 273.15

A worked example

Converting 37 C, normal human body temperature, to Fahrenheit:

And 100 F back to Celsius: (100 - 32) x 5/9 = 68 x 5/9 = 37.8 C.

Reference points

CelsiusFahrenheitKelvinReference
-273.15-459.670Absolute zero
-40-40233.15Where the two scales cross
-180255.15Typical freezer
032273.15Water freezes
2068293.15Room temperature
3798.6310.15Body temperature
100212373.15Water boils at sea level
180356453.15Moderate oven

The -40 crossing point is a genuine curiosity and a useful sanity check: it is the only temperature where the two scales read the same number.

Doing it in your head

For Celsius to Fahrenheit, double it and add 30. At 20 C that gives 70 against a true 68; at 30 C it gives 90 against 86. The approximation is good to within a few degrees across normal weather and drifts at extremes. Reversing it — subtract 30 and halve — works equally well for Fahrenheit to Celsius.

Some anchors worth memorising outright: 0 C is 32 F, 10 C is 50 F, 16 C is 61 F (the digits reverse), 28 C is 82 F (also reversed), and 100 C is 212 F.

Differences convert differently

This trips people up regularly. A temperature rise of 10 C is a rise of 18 F, not 50 F. When converting an interval or a change rather than a point on the scale, use only the ratio and drop the offset:

temperature difference: F difference = C difference x 9/5
1 degree Celsius change = 1.8 degrees Fahrenheit change
1 degree Celsius change = 1 kelvin change

So "the temperature rose by 5 degrees" converts to 9 F, whereas "the temperature is 5 degrees" converts to 41 F. This matters in climate reporting, in materials specifications quoting thermal expansion per degree, and in any tolerance expressed as a range.

Kelvin and absolute zero

The kelvin shares the Celsius degree size but starts at absolute zero, the point where thermal motion is minimal. Because it has a true zero, it is the scale used in physics and chemistry, where ratios have to be meaningful — doubling the kelvin temperature of a gas doubles its average kinetic energy, whereas doubling a Celsius figure means nothing physical.

Note the convention: kelvin takes no degree symbol and no capital letter when written out. It is "300 kelvin" or "300 K", never "300 degrees Kelvin". Absolute zero is 0 K, -273.15 C, or -459.67 F, and it cannot be reached, only approached.

Oven temperatures and gas marks

British recipes often specify gas marks, which follow their own progression of 25 F per mark.

Gas markCelsiusFahrenheitDescription
1140275Very slow
3160325Moderate
4180350Moderate
6200400Moderately hot
8230450Hot

One further adjustment: a fan or convection oven runs hotter than its setting implies because circulating air transfers heat more efficiently. Reduce the stated conventional temperature by about 20 C, or 25-30 F, when using one.

Frequently asked questions

What is the fastest way to convert Celsius to Fahrenheit mentally?

Double the Celsius figure and add 30. It is accurate within a few degrees across normal weather ranges — 25 C gives 80 against a true 77. For an exact answer, multiply by 1.8 and add 32.

At what temperature do Celsius and Fahrenheit read the same?

At -40. It is the single point where the two scales intersect, which makes it a handy check that a conversion formula has been applied correctly.

Why is a 10 degree Celsius rise not a 50 degree Fahrenheit rise?

Because a difference has no offset. Converting a point on the scale needs both the 1.8 factor and the 32 offset; converting an interval needs only the factor. A 10 C rise is an 18 F rise.

Should I say degrees Kelvin?

No. Kelvin is written without the degree symbol and lowercase when spelled out — "300 K" or "300 kelvin". The scale starts at absolute zero, so no offset is implied by the word "degrees".

How do I adjust a recipe for a fan oven?

Reduce the conventional temperature by about 20 C or 25-30 F. Circulating air transfers heat more efficiently, so a fan oven at 180 C browns considerably faster than a conventional one at the same setting.

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