What is the conversion of 102°F to °C?

To convert 102°F to Celsius (°C), we use the following formula for the conversion between Fahrenheit (°F) and Celsius (°C):

                                                  C=5÷​9×(°F−32)

Step-by-Step Conversion:

1. Start with the Fahrenheit temperature:

                                                     102°F

2. Subtract 32 from the Fahrenheit value:

                                                         102−32=70

3. Multiply the result by 5÷​9

                                                5÷​9​×70=38.888

4. Round to an appropriate number of decimal places (usually 1 or 2 decimal places):

                                                   38.89°C

Final Result:

So, 102°F is approximately 38.89°C.

Explanation:

• The formula subtracts 32 to account for the different zero points of the Fahrenheit and Celsius scales (32°F is the freezing point of water, while 0°C is the freezing point of water on the Celsius scale).
• Then, multiplying by 5/9 adjusts the scale between the two temperature systems, as Celsius degrees are larger than Fahrenheit degrees by a factor of 9/5.

In everyday use, 102°F is just below 39°C, which can indicate a fever in humans, depending on context.