Temperature Converter

Convert between Celsius, Fahrenheit, Kelvin and Rankine, with an absolute zero check.

Enter the values to see the result here.

Formula

Temperature scales differ by an offset as well as a unit size, so each conversion goes through Celsius:

∘F=95 ∘C+32,K=∘C+273.15,∘R=95 ( ∘C+273.15 ){}^\circ\mathrm{F} = \tfrac{9}{5}\,{}^\circ\mathrm{C} + 32,\qquad \mathrm{K} = {}^\circ\mathrm{C} + 273.15,\qquad {}^\circ\mathrm{R} = \tfrac{9}{5}\,(\,{}^\circ\mathrm{C} + 273.15\,)

The reverse of the first is ∘C=59(∘F−32){}^\circ\mathrm{C} = \tfrac{5}{9}({}^\circ\mathrm{F} - 32). Any value below −273.15 ∘C-273.15\,{}^\circ\mathrm{C} is rejected because nothing can be colder than absolute zero.

Worked example

Convert 72 °F to Celsius and Kelvin.

  • 72−32=4072 - 32 = 40, then 40×5/9=22.22 ∘C40 \times 5/9 = 22.22\,{}^\circ\mathrm{C}.
  • Kelvin: 22.22+273.15=295.3722.22 + 273.15 = 295.37 K.

Body temperature in the other direction: 37×9/5+32=98.6 ∘F37 \times 9/5 + 32 = 98.6\,{}^\circ\mathrm{F}.

Common mistakes

  • Multiplying by 9/5 without adding 32, which is only valid for temperature differences, not readings.
  • Applying the 5/9 factor before subtracting 32.
  • Writing negative kelvins or a degree sign on kelvin.
  • Using the double-and-add-30 trick for cooking, where a 12 °F error ruins a recipe.

Frequently asked questions

Why does -40 appear the same in Celsius and Fahrenheit?

Because both scales are straight lines, they cross once. Setting C = F in F = 1.8C + 32 gives C = -40.

What is a quick mental conversion from Celsius to Fahrenheit?

Double it and add 30. 20 °C becomes 70 °F (exact is 68). Good enough for weather, not for baking or medicine.

What is the difference between Kelvin and Celsius?

A kelvin step is the same size as a Celsius degree, but Kelvin starts at absolute zero, so K = °C + 273.15. Kelvin has no degree sign and no negative values.

Why do ovens use different numbers abroad?

Gas marks, Fahrenheit and Celsius are all used. 180 °C is 356 °F, usually written as 350 °F; the difference is within normal oven tolerance.

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