Understanding Fahrenheit to Celsius Temperature Conversion

This question asks us to find the equivalent temperature in degrees Celsius for a given temperature in degrees Fahrenheit. We need to perform a standard temperature conversion.

Fahrenheit to Celsius Conversion Formula

The relationship between the Fahrenheit scale (\(^\circ \text{F}\)) and the Celsius scale (\(^\circ \text{C}\)) is defined by a specific formula. To convert a temperature from Fahrenheit to Celsius, we use the following equation:

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

Where:

• \(C\) represents the temperature in degrees Celsius.
• \(F\) represents the temperature in degrees Fahrenheit.

This formula involves subtracting 32 from the Fahrenheit temperature and then multiplying the result by \(\frac{5}{9}\).

Step-by-Step Calculation for 167 Fahrenheit

We are given the temperature in Fahrenheit as 167. Let's apply the conversion formula step-by-step:

1. Start with the Fahrenheit temperature: The given temperature is \(F = 167^\circ \text{Fahrenheit}\).
2. Subtract 32: First, we subtract 32 from the Fahrenheit value:

   \[167 - 32 = 135\]

3. Multiply by \(\frac{5}{9}\): Next, we multiply the result (135) by \(\frac{5}{9}\):

   \[C = \frac{5}{9} \times 135\]

   To calculate this, we can first divide 135 by 9:

   \[\frac{135}{9} = 15\]

   Now, multiply this result by 5:

   \[C = 5 \times 15\]

   \[C = 75\]

Conclusion of Conversion

Following the calculation steps using the standard conversion formula, we find that 167 degrees Fahrenheit is equivalent to 75 degrees Celsius.

Therefore, the blank in the statement "_____ °Celsius = 167 Fahrenheit" should be filled with 75.