What is 102°F in Celsius?

Understand the Problem

The question is asking for the conversion of 102 degrees Fahrenheit to Celsius, which involves using the formula to convert temperature from Fahrenheit to Celsius.

Answer

The temperature in Celsius is approximately $ C \approx 38.89 $.

Steps to Solve

Identify the conversion formula

To convert from Fahrenheit to Celsius, we use the formula:

$$ C = \frac{5}{9}(F - 32) $$

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

Substitute the given value into the formula

Substituting $F = 102$ into the formula:

$$ C = \frac{5}{9}(102 - 32) $$

Calculate the value inside the parentheses

First, perform the subtraction:

$$ 102 - 32 = 70 $$

Multiply by the fraction

Now, substitute this value back into the equation:

$$ C = \frac{5}{9} \times 70 $$

Perform the multiplication

Calculate the multiplication:

$$ C = \frac{5 \times 70}{9} = \frac{350}{9} $$

Divide to get the final value in Celsius

Finally, perform the division:

$$ C \approx 38.89 $$

The temperature in Celsius is approximately ( C \approx 38.89 ).

More Information

The formula for converting Fahrenheit to Celsius is derived from linear transformation, helping scientists and travelers alike easily convert temperatures between the two scales. Knowing how to convert temperatures is essential in many fields like cooking, science, and engineering.

Tips

Forgetting to subtract 32 from the Fahrenheit value before multiplying by ( \frac{5}{9} ).
Not paying attention to the order of operations, potentially leading to incorrect calculations. Make sure to follow the correct steps.

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