What Temperature Does Fahrenheit Equal Celsius?

Temperature at Which Fahrenheit and Celsius Are the Same

This thermometer displays the Fahrenheit and Celsius temperature scales. The temperatures are the same at -40 degrees.
This thermometer displays the Fahrenheit and Celsius temperature scales. The temperatures are the same at -40 degrees. Andrew Johnson / Getty Images

The Celsius and Fahrenheit are two important temperature scales. The Fahrenheit scale is used primarily in the United States, while Celsius is used throughout the world. The two scales have different zero points and the Celsius degree is bigger than the Fahrenheit one. There is one point on the Fahrenheit and Celsius scales where the temperatures in degrees are equal. This is -40 °C and -40 °F. If you can't remember the number, there is a simple algebraic method to find the answer.

Setting Fahrenheit and Celsius Equal

Rather than converting one temperature to another (not helpful because it assumes you already know the answer), you set degrees Celsius and degrees Fahrenheit equal to each other using the conversion formula between the two temperature scales:

°F = (°C * 9/5) + 32
°C = (°F - 32) * 5/9

It does not matter which equation you use. Simple use "x" instead of degrees Celsius and Fahrenheit. You can solve this problem by solving for x:

°C = 5/9 * (°F - 32)
x = 5/9 * (x - 32)
x = (5/9)x - 17.778
1x - (5/9)x = -17.778
0.444x = -17.778
x = -40 degrees Celsius or Fahrenheit

Working using the other equation you get the same answer:

°F = (°C * 9/5) + 32
°x - (°x * 9/5) = 32
-4/5 * °x = 32
°x = -32 * 5/4
x = -40°

More About Temperature

You can set two scales equal to each other to find when any of them intersect. Sometimes it's easier to just look up equivalent temperature. This handy temperature conversion scale may help you out.

You can also practice converting between temperature scales.

How To Convert Fahrenheit To Celsius
How To Convert Celsius To Fahrenheit
Celsius Versus Centigrade

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Helmenstine, Anne Marie, Ph.D. "What Temperature Does Fahrenheit Equal Celsius?" ThoughtCo, Jun. 8, 2017, thoughtco.com/fahrenheit-celsius-equivalents-609236. Helmenstine, Anne Marie, Ph.D. (2017, June 8). What Temperature Does Fahrenheit Equal Celsius? Retrieved from https://www.thoughtco.com/fahrenheit-celsius-equivalents-609236 Helmenstine, Anne Marie, Ph.D. "What Temperature Does Fahrenheit Equal Celsius?" ThoughtCo. https://www.thoughtco.com/fahrenheit-celsius-equivalents-609236 (accessed September 20, 2017).