#### Convert 100.4 degrees Fahrenheit to degrees Celsius.

**Final Answer**

To convert 100.4 degrees Fahrenheit to Celsius, use the formula . After performing the calculations, we find that 100.4 degrees Fahrenheit is approximately 38.0 degrees Celsius.

**Explanation**

To convert 100.4 degrees Fahrenheit to degrees Celsius, we can use the formula:

C=

where F is the temperature in Fahrenheit and C is the temperature in Celsius.

First, we start with the Fahrenheit temperature:

F=100.4

Subtract 32 from the Fahrenheit temperature:

100.4−32=68.4

Now, multiply the result by

:

Therefore, 100.4 degrees Fahrenheit is approximately 38.0 degrees Celsius.

Examples & Evidence

For example, to convert 32 degrees Fahrenheit (the freezing point of water) to Celsius, we would calculate:

This yields C=0, confirming that 32°F is 0°C.

The temperature conversion formula is widely used and can be found in mathematics and science textbooks, ensuring its validity in calculations involving temperatures across different measurement systems.

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