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How to Convert Celsius to Fahrenheit (and Back)

The simple formula to convert Celsius to Fahrenheit and Fahrenheit to Celsius, plus Kelvin, with worked examples and common values.

The Formulas

To convert Celsius to Fahrenheit, multiply by 9/5 (which is 1.8) and add 32: F = C × 9/5 + 32. To convert Fahrenheit to Celsius, reverse it — subtract 32 first, then multiply by 5/9: C = (F − 32) × 5/9.

Kelvin is even simpler, because it uses the same degree size as Celsius but starts at absolute zero. Add 273.15 to a Celsius value to get Kelvin, or subtract it to go back.

Worked Examples

Take 20°C, a mild room temperature. Multiply by 1.8 to get 36, then add 32: that's 68°F. Going the other way, 98.6°F (body temperature) minus 32 is 66.6, times 5/9 gives 37°C.

A useful quirk: −40 is the one point where the two scales meet — −40°C equals −40°F exactly. And the boiling point of water, 100°C, is 212°F, while freezing, 0°C, is 32°F.

A Quick Mental Shortcut

For a rough Celsius-to-Fahrenheit estimate without a calculator, double the Celsius number and add 30. For 20°C that gives 70°F, close to the exact 68°F — fine for knowing how to dress, though off by a few degrees.

When you need the exact answer — for cooking, science, or a fever reading — use the full formula or the converter, which updates all three scales as you type and lists the common values people look up most.

Frequently asked questions

What is 180°C in Fahrenheit?

180°C is 356°F. Multiply 180 by 1.8 to get 324, then add 32. It's a common oven temperature — a moderate to moderately hot oven, roughly gas mark 4.

What's the easiest way to convert in my head?

Double the Celsius value and add 30 for a quick Fahrenheit estimate. It's a few degrees off the exact answer but good enough for weather. Use the precise formula when accuracy matters.

Why do Celsius and Fahrenheit meet at −40?

Because the two scales have different zero points and different degree sizes, the lines they trace cross exactly once — at −40, where −40°C and −40°F are the same temperature.

Tools mentioned in this guide

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